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12852320 = 2551337167
BaseRepresentation
bin110001000001…
…110001100000
3220011222001212
4301001301200
511242233240
61135245252
7214146215
oct61016140
926158055
1012852320
117289158
124379828
13287cc30
1419c7b0c
1511dd165
hexc41c60

12852320 has 96 divisors (see below), whose sum is σ = 33784128. Its totient is φ = 4589568.

The previous prime is 12852319. The next prime is 12852337. The reversal of 12852320 is 2325821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76877 + ... + 77043.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 212852320 is an apocalyptic number.

12852320 is a gapful number since it is divisible by the number (10) 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 12852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892064).

12852320 is an abundant number, since it is smaller than the sum of its proper divisors (20931808).

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

12852320 is a wasteful number, since it uses less digits than its factorization.

12852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12852320 is about 3585.0132496268. The cubic root of 12852320 is about 234.2397037207.

The spelling of 12852320 in words is "twelve million, eight hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 167 185 208 260 296 334 370 416 481 520 592 668 740 835 962 1040 1184 1336 1480 1670 1924 2080 2171 2405 2672 2960 3340 3848 4342 4810 5344 5920 6179 6680 7696 8684 9620 10855 12358 13360 15392 17368 19240 21710 24716 26720 30895 34736 38480 43420 49432 61790 69472 76960 80327 86840 98864 123580 160654 173680 197728 247160 321308 347360 401635 494320 642616 803270 988640 1285232 1606540 2570464 3213080 6426160 12852320