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12737920 = 275131531
BaseRepresentation
bin110000100101…
…110110000000
3212222011010211
4300211312000
511230103140
61133003504
7213161536
oct60456600
925864124
1012737920
117210208
124323594
13283cb40
141998156
1511b92ea
hexc25d80

12737920 has 64 divisors (see below), whose sum is σ = 32815440. Its totient is φ = 4700160.

The previous prime is 12737917. The next prime is 12737951. The reversal of 12737920 is 2973721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7555 + ... + 9085.

Almost surely, 212737920 is an apocalyptic number.

12737920 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 12737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407720).

12737920 is an abundant number, since it is smaller than the sum of its proper divisors (20077520).

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

12737920 is a wasteful number, since it uses less digits than its factorization.

12737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 12737920 is about 3569.0222750776. The cubic root of 12737920 is about 233.5426330639.

The spelling of 12737920 in words is "twelve million, seven hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1531 1664 2080 3062 4160 6124 7655 8320 12248 15310 19903 24496 30620 39806 48992 61240 79612 97984 99515 122480 159224 195968 199030 244960 318448 398060 489920 636896 796120 979840 1273792 1592240 2547584 3184480 6368960 12737920