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12688900 = 2252718127
BaseRepresentation
bin110000011001…
…111000000100
3212212122220021
4300121320010
511222021100
61131544524
7212565610
oct60317004
925778807
1012688900
1171873a4
1242bb144
132823733
141984340
1511a9a1a
hexc19e04

12688900 has 36 divisors (see below), whose sum is σ = 31470208. Its totient is φ = 4350240.

The previous prime is 12688877. The next prime is 12688909. The reversal of 12688900 is 988621.

It is a super-2 number, since 2×126889002 = 322016366420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12688909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8364 + ... + 9763.

Almost surely, 212688900 is an apocalyptic number.

12688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12688900 is an abundant number, since it is smaller than the sum of its proper divisors (18781308).

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

12688900 is a wasteful number, since it uses less digits than its factorization.

12688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18148 (or 18141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12688900 is about 3562.1482282465. The cubic root of 12688900 is about 233.2426631841.

The spelling of 12688900 in words is "twelve million, six hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 18127 36254 72508 90635 126889 181270 253778 362540 453175 507556 634445 906350 1268890 1812700 2537780 3172225 6344450 12688900