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12616520 = 2357241157
BaseRepresentation
bin110000001000…
…001101001000
3212201222121112
4300020031020
511212212040
61130225452
7212144600
oct60101510
925658545
1012616520
117137a84
124285288
1327c97c7
141965c00
151193365
hexc08348

12616520 has 96 divisors (see below), whose sum is σ = 34042680. Its totient is φ = 4193280.

The previous prime is 12616511. The next prime is 12616523. The reversal of 12616520 is 2561621.

It can be written as a sum of positive squares in 4 ways, for example, as 5466244 + 7150276 = 2338^2 + 2674^2 .

It is not an unprimeable number, because it can be changed into a prime (12616523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80282 + ... + 80438.

Almost surely, 212616520 is an apocalyptic number.

12616520 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 12616520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021340).

12616520 is an abundant number, since it is smaller than the sum of its proper divisors (21426160).

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

12616520 is a wasteful number, since it uses less digits than its factorization.

12616520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 12616520 is about 3551.9740990047. The cubic root of 12616520 is about 232.7983297983.

The spelling of 12616520 in words is "twelve million, six hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 157 164 196 205 245 280 287 314 328 392 410 490 574 628 785 820 980 1099 1148 1256 1435 1570 1640 1960 2009 2198 2296 2870 3140 4018 4396 5495 5740 6280 6437 7693 8036 8792 10045 10990 11480 12874 15386 16072 20090 21980 25748 30772 32185 38465 40180 43960 45059 51496 61544 64370 76930 80360 90118 128740 153860 180236 225295 257480 307720 315413 360472 450590 630826 901180 1261652 1577065 1802360 2523304 3154130 6308260 12616520