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10881468 = 22321323251
BaseRepresentation
bin101001100000…
…100110111100
3202110211120100
4221200212330
510241201333
61025121100
7161330253
oct51404674
922424510
1010881468
116162454
123789190
13233cb50
14163379a
15e4e213
hexa609bc

10881468 has 36 divisors (see below), whose sum is σ = 29623048. Its totient is φ = 3348000.

The previous prime is 10881449. The next prime is 10881473. The reversal of 10881468 is 86418801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11158 + ... + 12093.

Almost surely, 210881468 is an apocalyptic number.

10881468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10881468 is an abundant number, since it is smaller than the sum of its proper divisors (18741580).

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

10881468 is a wasteful number, since it uses less digits than its factorization.

10881468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23274 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10881468 is about 3298.7070194244. The cubic root of 10881468 is about 221.5962957758.

It can be divided in two parts, 1088 and 1468, that added together give a triangular number (2556 = T71).

The spelling of 10881468 in words is "ten million, eight hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 23251 46502 69753 93004 139506 209259 279012 302263 418518 604526 837036 906789 1209052 1813578 2720367 3627156 5440734 10881468