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10881972 = 2233175927
BaseRepresentation
bin101001100000…
…101110110100
3202110212021000
4221200232310
510241210342
61025123300
7161331603
oct51405664
922425230
1010881972
116162872
123789530
13234014a
141633a3a
15e4e44c
hexa60bb4

10881972 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3413376.

The previous prime is 10881971. The next prime is 10881979. The reversal of 10881972 is 27918801.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10881971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1128 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 210881972 is an apocalyptic number.

10881972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10881972 is an abundant number, since it is smaller than the sum of its proper divisors (18995148).

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

10881972 is a wasteful number, since it uses less digits than its factorization.

10881972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 10881972 is about 3298.7834121082. The cubic root of 10881972 is about 221.5997169689.

The spelling of 10881972 in words is "ten million, eight hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 5927 11854 17781 23708 35562 53343 71124 100759 106686 160029 201518 213372 302277 320058 403036 604554 640116 906831 1209108 1813662 2720493 3627324 5440986 10881972