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12931704 = 23331923137
BaseRepresentation
bin110001010101…
…001001111000
3220022222222000
4301111021320
511302303304
61141101000
7214626522
oct61251170
926288860
1012931704
117332865
1243b7760
1328aa0c6
141a08a12
151206939
hexc55278

12931704 has 128 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 3877632.

The previous prime is 12931669. The next prime is 12931739. The reversal of 12931704 is 40713921.

It is an interprime number because it is at equal distance from previous prime (12931669) and next prime (12931739).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

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 31 ways as a sum of consecutive naturals, for example, 94324 + ... + 94460.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 212931704 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 12931704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872000).

12931704 is an abundant number, since it is smaller than the sum of its proper divisors (26812296).

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

12931704 is a wasteful number, since it uses less digits than its factorization.

12931704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12931704 is about 3596.0678525300. The cubic root of 12931704 is about 234.7209846856.

The spelling of 12931704 in words is "twelve million, nine hundred thirty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 137 138 152 171 184 207 216 228 274 276 342 411 414 437 456 513 548 552 621 684 822 828 874 1026 1096 1233 1242 1311 1368 1644 1656 1748 2052 2466 2484 2603 2622 3151 3288 3496 3699 3933 4104 4932 4968 5206 5244 6302 7398 7809 7866 9453 9864 10412 10488 11799 12604 14796 15618 15732 18906 20824 23427 23598 25208 28359 29592 31236 31464 37812 46854 47196 56718 59869 62472 70281 75624 85077 93708 94392 113436 119738 140562 170154 179607 187416 226872 239476 281124 340308 359214 478952 538821 562248 680616 718428 1077642 1436856 1616463 2155284 3232926 4310568 6465852 12931704