Search a number
-
+
12465012 = 22372172943
BaseRepresentation
bin101111100011…
…001101110100
3212110021210010
4233203031310
511142340022
61123100220
7210644100
oct57431564
925407703
1012465012
11704416a
124211670
132775861
141926900
15116350c
hexbe3374

12465012 has 144 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3161088.

The previous prime is 12465001. The next prime is 12465049. The reversal of 12465012 is 21056421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12465012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289863 + ... + 289905.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 212465012 is an apocalyptic number.

12465012 is a gapful number since it is divisible by the number (12) 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 12465012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

12465012 is an abundant number, since it is smaller than the sum of its proper divisors (25455948).

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

12465012 is a wasteful number, since it uses less digits than its factorization.

12465012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12465012 is about 3530.5823882187. The cubic root of 12465012 is about 231.8627061240.

The spelling of 12465012 in words is "twelve million, four hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 43 49 51 58 68 84 86 87 98 102 116 119 129 147 172 174 196 203 204 238 258 294 301 348 357 406 476 493 516 588 602 609 714 731 812 833 903 986 1204 1218 1247 1421 1428 1462 1479 1666 1806 1972 2107 2193 2436 2494 2499 2842 2924 2958 3332 3451 3612 3741 4214 4263 4386 4988 4998 5117 5684 5916 6321 6902 7482 8428 8526 8729 8772 9996 10234 10353 12642 13804 14964 15351 17052 17458 20468 20706 21199 24157 25284 26187 30702 34916 35819 41412 42398 48314 52374 61103 61404 63597 71638 72471 84796 96628 104748 107457 122206 127194 143276 144942 148393 183309 214914 244412 254388 289884 296786 366618 429828 445179 593572 733236 890358 1038751 1780716 2077502 3116253 4155004 6232506 12465012