Search a number
-
+
2154454880 = 255174119319
BaseRepresentation
bin1000000001101010…
…0101111101100000
312120010222122111012
42000122211331200
513403020024010
6553441240052
7104250364364
oct20032457540
95503878435
102154454880
11a06151926
12501633028
13284475b96
141661c32a4
15c9222005
hex806a5f60

2154454880 has 96 divisors (see below), whose sum is σ = 5521037760. Its totient is φ = 791265280.

The previous prime is 2154454849. The next prime is 2154454889. The reversal of 2154454880 is 884544512.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154454889) 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 15 ways as a sum of consecutive naturals, for example, 101861 + ... + 121179.

It is an arithmetic number, because the mean of its divisors is an integer number (57510810).

Almost surely, 22154454880 is an apocalyptic number.

2154454880 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 2154454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760518880).

2154454880 is an abundant number, since it is smaller than the sum of its proper divisors (3366582880).

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

2154454880 is a wasteful number, since it uses less digits than its factorization.

2154454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19392 (or 19384 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 41.

The square root of 2154454880 is about 46416.1058254567. The cubic root of 2154454880 is about 1291.5536995249.

The spelling of 2154454880 in words is "two billion, one hundred fifty-four million, four hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 19319 22304 27880 38638 55760 77276 96595 111520 154552 193190 309104 328423 386380 618208 656846 772760 792079 1313692 1545520 1584158 1642115 2627384 3091040 3168316 3284230 3960395 5254768 6336632 6568460 7920790 10509536 12673264 13136920 13465343 15841580 25346528 26273840 26930686 31683160 52547680 53861372 63366320 67326715 107722744 126732640 134653430 215445488 269306860 430890976 538613720 1077227440 2154454880