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16872160 = 255176203
BaseRepresentation
bin100000001011…
…1001011100000
31011202012020211
41000113023200
513304402120
61401343504
7263260654
oct100271340
934665224
1016872160
119584338
125797b94
133659836
142352a64
15173425a
hex10172e0

16872160 has 48 divisors (see below), whose sum is σ = 42212016. Its totient is φ = 6350848.

The previous prime is 16872137. The next prime is 16872161. The reversal of 16872160 is 6127861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16872161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 5821.

It is an arithmetic number, because the mean of its divisors is an integer number (879417).

Almost surely, 216872160 is an apocalyptic number.

16872160 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 16872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106008).

16872160 is an abundant number, since it is smaller than the sum of its proper divisors (25339856).

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

16872160 is a wasteful number, since it uses less digits than its factorization.

16872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 16872160 is about 4107.5734929518. The cubic root of 16872160 is about 256.4820020633.

The spelling of 16872160 in words is "sixteen million, eight hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 6203 12406 24812 31015 49624 62030 99248 105451 124060 198496 210902 248120 421804 496240 527255 843608 992480 1054510 1687216 2109020 3374432 4218040 8436080 16872160