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12431016 = 23331319233
BaseRepresentation
bin101111011010…
…111010101000
3212101120011000
4233122322220
511140243031
61122235000
7210443013
oct57327250
925346130
1012431016
117020674
1241b5a60
132763240
14191837a
1511583e6
hexbdaea8

12431016 has 128 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3608064.

The previous prime is 12430963. The next prime is 12431033. The reversal of 12431016 is 61013421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12431016.

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, 53236 + ... + 53468.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 212431016 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 12431016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12431016 is an abundant number, since it is smaller than the sum of its proper divisors (26880984).

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

12431016 is a wasteful number, since it uses less digits than its factorization.

12431016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12431016 is about 3525.7645979277. The cubic root of 12431016 is about 231.6517267479.

Adding to 12431016 its reverse (61013421), we get a palindrome (73444437).

The spelling of 12431016 in words is "twelve million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 233 234 247 312 342 351 456 466 468 494 513 684 699 702 741 932 936 988 1026 1368 1398 1404 1482 1864 1976 2052 2097 2223 2796 2808 2964 3029 4104 4194 4427 4446 5592 5928 6058 6291 6669 8388 8854 8892 9087 12116 12582 13281 13338 16776 17708 17784 18174 24232 25164 26562 26676 27261 35416 36348 39843 50328 53124 53352 54522 57551 72696 79686 81783 106248 109044 115102 119529 159372 163566 172653 218088 230204 239058 318744 327132 345306 460408 478116 517959 654264 690612 956232 1035918 1381224 1553877 2071836 3107754 4143672 6215508 12431016