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12715320 = 23351723271
BaseRepresentation
bin110000100000…
…010100111000
3212221000010210
4300200110320
511223342240
61132311120
7213035622
oct60402470
925830123
1012715320
1171a5232
1243124a0
132832777
14198dc12
1511b2780
hexc20538

12715320 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 3041280.

The previous prime is 12715291. The next prime is 12715331. The reversal of 12715320 is 2351721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46785 + ... + 47055.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 212715320 is an apocalyptic number.

12715320 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 12715320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

12715320 is an abundant number, since it is smaller than the sum of its proper divisors (29586120).

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

12715320 is a wasteful number, since it uses less digits than its factorization.

12715320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12715320 is about 3565.8547362449. The cubic root of 12715320 is about 233.4044318483.

The spelling of 12715320 in words is "twelve million, seven hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 271 276 340 345 391 408 460 510 542 552 680 690 782 813 920 1020 1084 1173 1355 1380 1564 1626 1955 2040 2168 2346 2710 2760 3128 3252 3910 4065 4607 4692 5420 5865 6233 6504 7820 8130 9214 9384 10840 11730 12466 13821 15640 16260 18428 18699 23035 23460 24932 27642 31165 32520 36856 37398 46070 46920 49864 55284 62330 69105 74796 92140 93495 105961 110568 124660 138210 149592 184280 186990 211922 249320 276420 317883 373980 423844 529805 552840 635766 747960 847688 1059610 1271532 1589415 2119220 2543064 3178830 4238440 6357660 12715320