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12919296 = 29313647
BaseRepresentation
bin110001010010…
…001000000000
3220022100221110
4301102020000
511301404141
61140523320
7214545405
oct61221000
926270843
1012919296
117324505
1243b0540
1328a4570
141a042ac
151202e16
hexc52200

12919296 has 80 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3969024.

The previous prime is 12919273. The next prime is 12919301. The reversal of 12919296 is 69291921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

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, 19645 + ... + 20291.

Almost surely, 212919296 is an apocalyptic number.

12919296 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 12919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

12919296 is an abundant number, since it is smaller than the sum of its proper divisors (24203328).

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

12919296 is an equidigital number, since it uses as much as digits as its factorization.

12919296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its digits is 17496, while the sum is 39.

The square root of 12919296 is about 3594.3422207686. The cubic root of 12919296 is about 234.6458888858.

The spelling of 12919296 in words is "twelve million, nine hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 647 768 832 1248 1294 1536 1664 1941 2496 2588 3328 3882 4992 5176 6656 7764 8411 9984 10352 15528 16822 19968 20704 25233 31056 33644 41408 50466 62112 67288 82816 100932 124224 134576 165632 201864 248448 269152 331264 403728 496896 538304 807456 993792 1076608 1614912 2153216 3229824 4306432 6459648 12919296