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12747696 = 2431331659
BaseRepresentation
bin110000101000…
…001110110000
3212222122112220
4300220032300
511230411241
61133121040
7213232203
oct60501660
925878486
1012747696
117217595
124329180
132844420
14199b93a
1511bc166
hexc283b0

12747696 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3790080.

The previous prime is 12747653. The next prime is 12747697. The reversal of 12747696 is 69674721.

12747696 = 592 + 602 + ... + 3372.

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 (12747697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19015 + ... + 19673.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 212747696 is an apocalyptic number.

12747696 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 12747696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

12747696 is an abundant number, since it is smaller than the sum of its proper divisors (23916624).

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

12747696 is a wasteful number, since it uses less digits than its factorization.

12747696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 12747696 is about 3570.3915751637. The cubic root of 12747696 is about 233.6023636153.

Subtracting 12747696 from its reverse (69674721), we obtain a square (56927025 = 75452).

The spelling of 12747696 in words is "twelve million, seven hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 659 744 806 1209 1318 1488 1612 1977 2418 2636 3224 3954 4836 5272 6448 7908 8567 9672 10544 15816 17134 19344 20429 25701 31632 34268 40858 51402 61287 68536 81716 102804 122574 137072 163432 205608 245148 265577 326864 411216 490296 531154 796731 980592 1062308 1593462 2124616 3186924 4249232 6373848 12747696