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12707296 = 257174771
BaseRepresentation
bin110000011110…
…010111100000
3212220121010121
4300132113200
511223113141
61132210024
7213003340
oct60362740
925817117
1012707296
11719a1a8
124309914
13282bc14
14198ad20
1511b01d1
hexc1e5e0

12707296 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 4945920.

The previous prime is 12707281. The next prime is 12707297. The reversal of 12707296 is 69270721.

It is a super-2 number, since 2×127072962 = 322950743263232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12707297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178941 + ... + 179011.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 212707296 is an apocalyptic number.

12707296 is a gapful number since it is divisible by the number (16) 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 12707296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

12707296 is an abundant number, since it is smaller than the sum of its proper divisors (18645536).

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

12707296 is a wasteful number, since it uses less digits than its factorization.

12707296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 12707296 is about 3564.7294427488. The cubic root of 12707296 is about 233.3553249114.

The spelling of 12707296 in words is "twelve million, seven hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 71 94 112 119 136 142 188 224 238 272 284 329 376 476 497 544 568 658 752 799 952 994 1136 1207 1316 1504 1598 1904 1988 2272 2414 2632 3196 3337 3808 3976 4828 5264 5593 6392 6674 7952 8449 9656 10528 11186 12784 13348 15904 16898 19312 22372 23359 25568 26696 33796 38624 44744 46718 53392 56729 67592 89488 93436 106784 113458 135184 178976 186872 226916 270368 373744 397103 453832 747488 794206 907664 1588412 1815328 3176824 6353648 12707296