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10881312 = 253138719
BaseRepresentation
bin101001100000…
…100100100000
3202110211100120
4221200210200
510241200222
61025120240
7161326641
oct51404440
922424316
1010881312
116162322
123789080
13233ca60
1416336c8
15e4e15c
hexa60920

10881312 has 48 divisors (see below), whose sum is σ = 30764160. Its totient is φ = 3347712.

The previous prime is 10881301. The next prime is 10881313. The reversal of 10881312 is 21318801.

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 not an unprimeable number, because it can be changed into a prime (10881313) by changing a digit.

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, 3112 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (640920).

Almost surely, 210881312 is an apocalyptic number.

10881312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10881312 is an abundant number, since it is smaller than the sum of its proper divisors (19882848).

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

10881312 is a wasteful number, since it uses less digits than its factorization.

10881312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10881312 is about 3298.6833737114. The cubic root of 10881312 is about 221.5952368137.

The spelling of 10881312 in words is "ten million, eight hundred eighty-one thousand, three hundred twelve".

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 8719 17438 26157 34876 52314 69752 104628 113347 139504 209256 226694 279008 340041 418512 453388 680082 837024 906776 1360164 1813552 2720328 3627104 5440656 10881312