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12520960 = 2956773
BaseRepresentation
bin101111110000…
…111000000000
3212120010112021
4233300320000
511201132320
61124211224
7211266154
oct57607000
925503467
1012520960
117082201
124239b14
13279516a
14193d064
151174daa
hexbf0e00

12520960 has 80 divisors (see below), whose sum is σ = 30886416. Its totient is φ = 4866048.

The previous prime is 12520957. The next prime is 12520967. The reversal of 12520960 is 6902521.

12520960 = T339 + T340 + ... + T484.

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 (12520967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171484 + ... + 171556.

Almost surely, 212520960 is an apocalyptic number.

12520960 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 12520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443208).

12520960 is an abundant number, since it is smaller than the sum of its proper divisors (18365456).

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

12520960 is an frugal number, since it uses more digits than its factorization.

12520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12520960 is about 3538.4968560110. The cubic root of 12520960 is about 232.2090861809.

The spelling of 12520960 in words is "twelve million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 73 80 128 134 146 160 256 268 292 320 335 365 512 536 584 640 670 730 1072 1168 1280 1340 1460 2144 2336 2560 2680 2920 4288 4672 4891 5360 5840 8576 9344 9782 10720 11680 17152 18688 19564 21440 23360 24455 34304 37376 39128 42880 46720 48910 78256 85760 93440 97820 156512 171520 186880 195640 313024 391280 626048 782560 1252096 1565120 2504192 3130240 6260480 12520960