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11975172 = 22311257353
BaseRepresentation
bin101101101011…
…101000000100
3211112101211220
4231223220010
511031201142
61104400340
7203534016
oct55535004
924471756
1011975172
11683a140
1240160b0
132633901
14183a1b6
1510b82ec
hexb6ba04

11975172 has 48 divisors (see below), whose sum is σ = 30687552. Its totient is φ = 3604480.

The previous prime is 11975153. The next prime is 11975189. The reversal of 11975172 is 27157911.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 33748 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (639324).

Almost surely, 211975172 is an apocalyptic number.

11975172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11975172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15343776).

11975172 is an abundant number, since it is smaller than the sum of its proper divisors (18712380).

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

11975172 is a wasteful number, since it uses less digits than its factorization.

11975172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its digits is 4410, while the sum is 33.

The square root of 11975172 is about 3460.5161464730. The cubic root of 11975172 is about 228.7848452397.

The spelling of 11975172 in words is "eleven million, nine hundred seventy-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 353 514 706 771 1028 1059 1412 1542 2118 2827 3084 3883 4236 5654 7766 8481 11308 11649 15532 16962 23298 33924 46596 90721 181442 272163 362884 544326 997931 1088652 1995862 2993793 3991724 5987586 11975172