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16000257 = 3713294347
BaseRepresentation
bin111101000010…
…010100000001
31010002220020010
4331002110001
513044002012
61330535133
7252666660
oct75022401
933086203
1016000257
119039259
1254374a9
133412a10
1421a6dd7
151610c3c
hexf42501

16000257 has 64 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 7789824.

The previous prime is 16000253. The next prime is 16000277. The reversal of 16000257 is 75200061.

It is not a de Polignac number, because 16000257 - 22 = 16000253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (16000253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340408 + ... + 340454.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 216000257 is an apocalyptic number.

It is an amenable number.

16000257 is a deficient number, since it is larger than the sum of its proper divisors (12385023).

16000257 is a wasteful number, since it uses less digits than its factorization.

16000257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 16000257 is about 4000.0321248710. The cubic root of 16000257 is about 251.9855591372.

The spelling of 16000257 in words is "sixteen million, two hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 7 13 21 29 39 43 47 87 91 129 141 203 273 301 329 377 559 609 611 903 987 1131 1247 1363 1677 1833 2021 2639 3741 3913 4089 4277 6063 7917 8729 9541 11739 12831 14147 16211 17719 26187 26273 28623 42441 48633 53157 58609 78819 113477 124033 175827 183911 340431 372099 410263 551733 761917 1230789 2285751 5333419 16000257