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12496896 = 21233113
BaseRepresentation
bin101111101011…
…000000000000
3212111220112000
4233223000000
511144400041
61123504000
7211136046
oct57530000
925456460
1012496896
117066115
124228000
132787219
141934396
15116cbb6
hexbeb000

12496896 has 104 divisors (see below), whose sum is σ = 37350960. Its totient is φ = 4128768.

The previous prime is 12496873. The next prime is 12496903. The reversal of 12496896 is 69869421.

It is a happy number.

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

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, 110536 + ... + 110648.

Almost surely, 212496896 is an apocalyptic number.

12496896 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 12496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675480).

12496896 is an abundant number, since it is smaller than the sum of its proper divisors (24854064).

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

12496896 is an equidigital number, since it uses as much as digits as its factorization.

12496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 12496896 is about 3535.0949067882. The cubic root of 12496896 is about 232.0602301014.

It can be divided in two parts, 124 and 96896, that added together give a triangular number (97020 = T440).

The spelling of 12496896 in words is "twelve million, four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 512 576 678 768 864 904 1017 1024 1152 1356 1536 1728 1808 2034 2048 2304 2712 3051 3072 3456 3616 4068 4096 4608 5424 6102 6144 6912 7232 8136 9216 10848 12204 12288 13824 14464 16272 18432 21696 24408 27648 28928 32544 36864 43392 48816 55296 57856 65088 86784 97632 110592 115712 130176 173568 195264 231424 260352 347136 390528 462848 520704 694272 781056 1041408 1388544 1562112 2082816 3124224 4165632 6248448 12496896