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12095952 = 2431131739
BaseRepresentation
bin101110001001…
…000111010000
3211202112112020
4232021013100
511044032302
61111131440
7204546111
oct56110720
924675466
1012095952
116911960
124073b80
13267688b
14186c208
1510ddebc
hexb891d0

12095952 has 80 divisors (see below), whose sum is σ = 35235840. Its totient is φ = 3542400.

The previous prime is 12095933. The next prime is 12095957. The reversal of 12095952 is 25959021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12095957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15999 + ... + 16737.

It is an arithmetic number, because the mean of its divisors is an integer number (440448).

Almost surely, 212095952 is an apocalyptic number.

12095952 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 12095952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617920).

12095952 is an abundant number, since it is smaller than the sum of its proper divisors (23139888).

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

12095952 is a wasteful number, since it uses less digits than its factorization.

12095952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 12095952 is about 3477.9235184230. The cubic root of 12095952 is about 229.5514382924.

The spelling of 12095952 in words is "twelve million, ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 739 744 1023 1364 1478 1488 2046 2217 2728 2956 4092 4434 5456 5912 8129 8184 8868 11824 16258 16368 17736 22909 24387 32516 35472 45818 48774 65032 68727 91636 97548 130064 137454 183272 195096 251999 274908 366544 390192 503998 549816 755997 1007996 1099632 1511994 2015992 3023988 4031984 6047976 12095952