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12531960 = 2332574973
BaseRepresentation
bin101111110011…
…100011111000
3212120200121200
4233303203320
511202010320
61124334200
7211343220
oct57634370
925520550
1012531960
11708a4a1
124244360
13279a17c
141943080
151178290
hexbf38f8

12531960 has 96 divisors (see below), whose sum is σ = 46556640. Its totient is φ = 2863872.

The previous prime is 12531919. The next prime is 12531977. The reversal of 12531960 is 6913521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (484965).

Almost surely, 212531960 is an apocalyptic number.

12531960 is a gapful number since it is divisible by the number (10) 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 12531960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278320).

12531960 is an abundant number, since it is smaller than the sum of its proper divisors (34024680).

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

12531960 is a wasteful number, since it uses less digits than its factorization.

12531960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12531960 is about 3540.0508470925. The cubic root of 12531960 is about 232.2770669190.

The spelling of 12531960 in words is "twelve million, five hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4973 9946 14919 19892 24865 29838 34811 39784 44757 49730 59676 69622 74595 89514 99460 104433 119352 139244 149190 174055 179028 198920 208866 223785 278488 298380 313299 348110 358056 417732 447570 522165 596760 626598 696220 835464 895140 1044330 1253196 1392440 1566495 1790280 2088660 2506392 3132990 4177320 6265980 12531960