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12900576 = 2531310337
BaseRepresentation
bin110001001101…
…100011100000
3220021102021010
4301031203200
511300304301
61140300520
7214440003
oct61154340
926242233
1012900576
117311437
1243a1740
132898ba0
1419db53a
1511ec5d6
hexc4d8e0

12900576 has 48 divisors (see below), whose sum is σ = 36472464. Its totient is φ = 3969024.

The previous prime is 12900553. The next prime is 12900581. The reversal of 12900576 is 67500921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×129005762 = 332849722263552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3921 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (759843).

Almost surely, 212900576 is an apocalyptic number.

12900576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12900576 is an abundant number, since it is smaller than the sum of its proper divisors (23571888).

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

12900576 is a wasteful number, since it uses less digits than its factorization.

12900576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 12900576 is about 3591.7371841492. The cubic root of 12900576 is about 234.5325005001.

The spelling of 12900576 in words is "twelve million, nine hundred thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10337 20674 31011 41348 62022 82696 124044 134381 165392 248088 268762 330784 403143 496176 537524 806286 992352 1075048 1612572 2150096 3225144 4300192 6450288 12900576