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12789696 = 263292297
BaseRepresentation
bin110000110010…
…011111000000
3220001210011110
4300302133000
511233232241
61134043320
7213465513
oct60623700
926053143
1012789696
1172460a7
124349540
13285a58a
1419acd7a
1511c9816
hexc327c0

12789696 has 56 divisors (see below), whose sum is σ = 35021520. Its totient is φ = 4114432.

The previous prime is 12789683. The next prime is 12789703. The reversal of 12789696 is 69698721.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4420 + ... + 6716.

Almost surely, 212789696 is an apocalyptic number.

12789696 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 12789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510760).

12789696 is an abundant number, since it is smaller than the sum of its proper divisors (22231824).

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

12789696 is a wasteful number, since it uses less digits than its factorization.

12789696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2331 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 12789696 is about 3576.2684462999. The cubic root of 12789696 is about 233.8586332924.

It can be divided in two parts, 127896 and 96, that multiplied together give a square (12278016 = 35042).

The spelling of 12789696 in words is "twelve million, seven hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2297 2784 4594 5568 6891 9188 13782 18376 27564 36752 55128 66613 73504 110256 133226 147008 199839 220512 266452 399678 441024 532904 799356 1065808 1598712 2131616 3197424 4263232 6394848 12789696