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12913360 = 2453141127
BaseRepresentation
bin110001010000…
…101011010000
3220022001210121
4301100223100
511301211420
61140440024
7214522165
oct61205320
926261717
1012913360
11731aaa9
1243a9014
1328a1955
141a0206c
1512012aa
hexc50ad0

12913360 has 80 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 4838400.

The previous prime is 12913337. The next prime is 12913363. The reversal of 12913360 is 6331921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12913363) 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, 101617 + ... + 101743.

Almost surely, 212913360 is an apocalyptic number.

12913360 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 12913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

12913360 is an abundant number, since it is smaller than the sum of its proper divisors (19084592).

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

12913360 is a wasteful number, since it uses less digits than its factorization.

12913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 12913360 is about 3593.5163837111. The cubic root of 12913360 is about 234.6099459733.

The spelling of 12913360 in words is "twelve million, nine hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 127 155 164 205 248 254 310 328 410 496 508 620 635 656 820 1016 1240 1270 1271 1640 2032 2480 2540 2542 3280 3937 5080 5084 5207 6355 7874 10160 10168 10414 12710 15748 19685 20336 20828 25420 26035 31496 39370 41656 50840 52070 62992 78740 83312 101680 104140 157480 161417 208280 314960 322834 416560 645668 807085 1291336 1614170 2582672 3228340 6456680 12913360