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11898880 = 2125783
BaseRepresentation
bin101101011001…
…000000000000
3211101112012021
4231121000000
511021231010
61103011224
7203065420
oct55310000
924345167
1011898880
116797894
123b99b14
132607c76
14181a480
1510a08da
hexb59000

11898880 has 104 divisors (see below), whose sum is σ = 33026112. Its totient is φ = 4030464.

The previous prime is 11898877. The next prime is 11898881. The reversal of 11898880 is 8889811.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11898881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143319 + ... + 143401.

Almost surely, 211898880 is an apocalyptic number.

11898880 is a gapful number since it is divisible by the number (10) 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 11898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513056).

11898880 is an abundant number, since it is smaller than the sum of its proper divisors (21127232).

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

11898880 is an frugal number, since it uses more digits than its factorization.

11898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 43.

The square root of 11898880 is about 3449.4753224222. The cubic root of 11898880 is about 228.2979586569.

The spelling of 11898880 in words is "eleven million, eight hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 140 160 166 224 256 280 320 332 415 448 512 560 581 640 664 830 896 1024 1120 1162 1280 1328 1660 1792 2048 2240 2324 2560 2656 2905 3320 3584 4096 4480 4648 5120 5312 5810 6640 7168 8960 9296 10240 10624 11620 13280 14336 17920 18592 20480 21248 23240 26560 28672 35840 37184 42496 46480 53120 71680 74368 84992 92960 106240 143360 148736 169984 185920 212480 297472 339968 371840 424960 594944 743680 849920 1189888 1487360 1699840 2379776 2974720 5949440 11898880