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12616320 = 27356571
BaseRepresentation
bin110000001000…
…001010000000
3212201222100010
4300020022000
511212210240
61130224520
7212144163
oct60101200
925658303
1012616320
117137912
124285140
1327c96a2
141965ada
151193280
hexc08280

12616320 has 64 divisors (see below), whose sum is σ = 40220640. Its totient is φ = 3363840.

The previous prime is 12616319. The next prime is 12616327. The reversal of 12616320 is 2361621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12616327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 5205.

Almost surely, 212616320 is an apocalyptic number.

12616320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12616320 is an abundant number, since it is smaller than the sum of its proper divisors (27604320).

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

12616320 is an equidigital number, since it uses as much as digits as its factorization.

12616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12616320 is about 3551.9459455346. The cubic root of 12616320 is about 232.7970996675.

Adding to 12616320 its reverse (2361621), we get a palindrome (14977941).

The spelling of 12616320 in words is "twelve million, six hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6571 13142 19713 26284 32855 39426 52568 65710 78852 98565 105136 131420 157704 197130 210272 262840 315408 394260 420544 525680 630816 788520 841088 1051360 1261632 1577040 2102720 2523264 3154080 4205440 6308160 12616320