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12909888 = 263331241
BaseRepresentation
bin110001001111…
…110101000000
3220021220001000
4301033311000
511301104023
61140412000
7214506105
oct61176500
926256030
1012909888
117318432
1243a7000
1328a01b4
141a00aac
151200243
hexc4fd40

12909888 has 112 divisors (see below), whose sum is σ = 39339520. Its totient is φ = 4147200.

The previous prime is 12909887. The next prime is 12909893. The reversal of 12909888 is 88890921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12909887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53448 + ... + 53688.

Almost surely, 212909888 is an apocalyptic number.

12909888 is a gapful number since it is divisible by the number (18) 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 12909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669760).

12909888 is an abundant number, since it is smaller than the sum of its proper divisors (26429632).

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

12909888 is a wasteful number, since it uses less digits than its factorization.

12909888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12909888 is about 3593.0332589610. The cubic root of 12909888 is about 234.5889176547.

The spelling of 12909888 in words is "twelve million, nine hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 241 248 279 288 372 432 482 496 558 576 723 744 837 864 964 992 1116 1446 1488 1674 1728 1928 1984 2169 2232 2892 2976 3348 3856 4338 4464 5784 5952 6507 6696 7471 7712 8676 8928 11568 13014 13392 14942 15424 17352 17856 22413 23136 26028 26784 29884 34704 44826 46272 52056 53568 59768 67239 69408 89652 104112 119536 134478 138816 179304 201717 208224 239072 268956 358608 403434 416448 478144 537912 717216 806868 1075824 1434432 1613736 2151648 3227472 4303296 6454944 12909888