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299054880 = 25325972141
BaseRepresentation
bin10001110100110…
…011011100100000
3202211201120011200
4101310303130200
51103024224010
645401441200
710260632055
oct2164633440
9684646150
10299054880
111438993a3
12841a0200
1349c59867
142ba0902c
151b3c3cc0
hex11d33720

299054880 has 144 divisors (see below), whose sum is σ = 1031527224. Its totient is φ = 78888960.

The previous prime is 299054867. The next prime is 299054887. The reversal of 299054880 is 88450992.

299054880 is a `hidden beast` number, since 29 + 9 + 0 + 548 + 80 = 666.

299054880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 286692624 + 12362256 = 16932^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299054887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138610 + ... + 140750.

Almost surely, 2299054880 is an apocalyptic number.

299054880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515763612).

299054880 is an abundant number, since it is smaller than the sum of its proper divisors (732472344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

299054880 is a wasteful number, since it uses less digits than its factorization.

299054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 299054880 is about 17293.2032891538. The cubic root of 299054880 is about 668.7292166948.

The spelling of 299054880 in words is "two hundred ninety-nine million, fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1164 1440 1455 1552 1746 1940 2141 2328 2910 3104 3492 3880 4282 4365 4656 5820 6423 6984 7760 8564 8730 9312 10705 11640 12846 13968 15520 17128 17460 19269 21410 23280 25692 27936 32115 34256 34920 38538 42820 46560 51384 64230 68512 69840 77076 85640 96345 102768 128460 139680 154152 171280 192690 205536 207677 256920 308304 342560 385380 415354 513840 616608 623031 770760 830708 1027680 1038385 1246062 1541520 1661416 1869093 2076770 2492124 3083040 3115155 3322832 3738186 4153540 4984248 6230310 6645664 7476372 8307080 9345465 9968496 12460620 14952744 16614160 18690930 19936992 24921240 29905488 33228320 37381860 49842480 59810976 74763720 99684960 149527440 299054880