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12088972 = 22717109233
BaseRepresentation
bin101110000111…
…011010001100
3211202011221201
4232013122030
511043321342
61111035244
7204516550
oct56073214
924664851
1012088972
116907695
12406bb24
13267364c
141869860
1510dbdb7
hexb8768c

12088972 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 4810752.

The previous prime is 12088949. The next prime is 12088981. The reversal of 12088972 is 27988021.

12088972 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120889722 = 292286488033568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

12088972 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51768 + ... + 52000.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 212088972 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 12088972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

12088972 is an abundant number, since it is smaller than the sum of its proper divisors (13856948).

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

12088972 is a wasteful number, since it uses less digits than its factorization.

12088972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 12088972 is about 3476.9199012919. The cubic root of 12088972 is about 229.5072753819.

The spelling of 12088972 in words is "twelve million, eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 109 119 218 233 238 436 466 476 763 932 1526 1631 1853 3052 3262 3706 3961 6524 7412 7922 12971 15844 25397 25942 27727 50794 51884 55454 101588 110908 177779 355558 431749 711116 863498 1726996 3022243 6044486 12088972