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12195864 = 23321131499
BaseRepresentation
bin101110100001…
…100000011000
3211221121120200
4232201200120
511110231424
61113222200
7205443312
oct56414030
924847520
1012195864
11697aa2a
124101960
1326b01b5
1418967b2
15110d8c9
hexba1818

12195864 has 48 divisors (see below), whose sum is σ = 33345000. Its totient is φ = 4026624.

The previous prime is 12195857. The next prime is 12195881. The reversal of 12195864 is 46859121.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7387 + ... + 8885.

Almost surely, 212195864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12195864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672500).

12195864 is an abundant number, since it is smaller than the sum of its proper divisors (21149136).

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

12195864 is a wasteful number, since it uses less digits than its factorization.

12195864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1617 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 12195864 is about 3492.2577224483. The cubic root of 12195864 is about 230.1817341220.

The spelling of 12195864 in words is "twelve million, one hundred ninety-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1499 2034 2712 2998 4068 4497 5996 8136 8994 11992 13491 17988 26982 35976 53964 107928 169387 338774 508161 677548 1016322 1355096 1524483 2032644 3048966 4065288 6097932 12195864