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12880032 = 2531112197
BaseRepresentation
bin110001001000…
…100010100000
3220020101002020
4301020202200
511244130112
61140021440
7214323054
oct61104240
926211066
1012880032
1172a7a60
124391880
13288c729
1419d3c64
1511e648c
hexc488a0

12880032 has 48 divisors (see below), whose sum is σ = 36886752. Its totient is φ = 3902720.

The previous prime is 12880019. The next prime is 12880061. The reversal of 12880032 is 23008821.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12879984 and 12880011.

It is an unprimeable number.

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, 5043 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (768474).

Almost surely, 212880032 is an apocalyptic number.

12880032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12880032 is an abundant number, since it is smaller than the sum of its proper divisors (24006720).

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

12880032 is a wasteful number, since it uses less digits than its factorization.

12880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12880032 is about 3588.8761472082. The cubic root of 12880032 is about 234.4079376998.

Adding to 12880032 its reverse (23008821), we get a palindrome (35888853).

The spelling of 12880032 in words is "twelve million, eight hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12197 24394 36591 48788 73182 97576 134167 146364 195152 268334 292728 390304 402501 536668 585456 805002 1073336 1170912 1610004 2146672 3220008 4293344 6440016 12880032