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12883696 = 247373109
BaseRepresentation
bin110001001001…
…011011110000
3220020120002221
4301021123300
511244234241
61140050424
7214336540
oct61113360
926216087
1012883696
1172aa791
124393a14
1328912b7
1419d5320
1511e75d1
hexc496f0

12883696 has 40 divisors (see below), whose sum is σ = 29308640. Its totient is φ = 5370624.

The previous prime is 12883643. The next prime is 12883709. The reversal of 12883696 is 69638821.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2590 + ... + 5698.

It is an arithmetic number, because the mean of its divisors is an integer number (732716).

Almost surely, 212883696 is an apocalyptic number.

12883696 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 12883696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654320).

12883696 is an abundant number, since it is smaller than the sum of its proper divisors (16424944).

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

12883696 is a wasteful number, since it uses less digits than its factorization.

12883696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3155 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 12883696 is about 3589.3865771187. The cubic root of 12883696 is about 234.4301630394.

The spelling of 12883696 in words is "twelve million, eight hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 3109 4144 6218 12436 21763 24872 43526 49744 87052 115033 174104 230066 348208 460132 805231 920264 1610462 1840528 3220924 6441848 12883696