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12923496 = 2333194767
BaseRepresentation
bin110001010011…
…001001101000
3220022120201000
4301103021220
511302022441
61140555000
7214563555
oct61231150
926276630
1012923496
117327683
1243b2a60
1328a6451
141a05a2c
1512042b6
hexc53268

12923496 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3934656.

The previous prime is 12923489. The next prime is 12923507. The reversal of 12923496 is 69432921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12923496.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192855 + ... + 192921.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 212923496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12923496 is an abundant number, since it is smaller than the sum of its proper divisors (26244504).

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

12923496 is a wasteful number, since it uses less digits than its factorization.

12923496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12923496 is about 3594.9264248382. The cubic root of 12923496 is about 234.6713135415.

The spelling of 12923496 in words is "twelve million, nine hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 67 72 76 94 108 114 134 141 152 171 188 201 216 228 268 282 342 376 402 423 456 513 536 564 603 684 804 846 893 1026 1128 1206 1269 1273 1368 1608 1692 1786 1809 2052 2412 2538 2546 2679 3149 3384 3572 3618 3819 4104 4824 5076 5092 5358 6298 7144 7236 7638 8037 9447 10152 10184 10716 11457 12596 14472 15276 16074 18894 21432 22914 24111 25192 28341 30552 32148 34371 37788 45828 48222 56682 59831 64296 68742 75576 85023 91656 96444 113364 119662 137484 170046 179493 192888 226728 239324 274968 340092 358986 478648 538479 680184 717972 1076958 1435944 1615437 2153916 3230874 4307832 6461748 12923496