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12907320 = 2335293709
BaseRepresentation
bin110001001111…
…001100111000
3220021202111220
4301033030320
511301013240
61140352040
7214465446
oct61171470
926252456
1012907320
117316508
1243a5620
13289bc8a
1419ddb96
1511ee5d0
hexc4f338

12907320 has 64 divisors (see below), whose sum is σ = 40068000. Its totient is φ = 3322368.

The previous prime is 12907319. The next prime is 12907343. The reversal of 12907320 is 2370921.

12907320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1626 + ... + 5334.

Almost surely, 212907320 is an apocalyptic number.

12907320 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 12907320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034000).

12907320 is an abundant number, since it is smaller than the sum of its proper divisors (27160680).

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

12907320 is a wasteful number, since it uses less digits than its factorization.

12907320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 12907320 is about 3592.6758829597. The cubic root of 12907320 is about 234.5733620256.

The spelling of 12907320 in words is "twelve million, nine hundred seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3709 7418 11127 14836 18545 22254 29672 37090 44508 55635 74180 89016 107561 111270 148360 215122 222540 322683 430244 445080 537805 645366 860488 1075610 1290732 1613415 2151220 2581464 3226830 4302440 6453660 12907320