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12832920 = 2332543829
BaseRepresentation
bin110000111101…
…000010011000
3220010222110100
4300331002120
511241123140
61135015400
7214035522
oct60750230
926128410
1012832920
117275621
12436a560
132874159
1419c0a12
1511d7530
hexc3d098

12832920 has 96 divisors (see below), whose sum is σ = 42728400. Its totient is φ = 3338496.

The previous prime is 12832903. The next prime is 12832921. The reversal of 12832920 is 2923821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15066 + ... + 15894.

Almost surely, 212832920 is an apocalyptic number.

12832920 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 12832920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364200).

12832920 is an abundant number, since it is smaller than the sum of its proper divisors (29895480).

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

12832920 is a wasteful number, since it uses less digits than its factorization.

12832920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12832920 is about 3582.3065195485. The cubic root of 12832920 is about 234.1217862652.

Subtracting from 12832920 its reverse (2923821), we obtain a palindrome (9909099).

The spelling of 12832920 in words is "twelve million, eight hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 829 860 1032 1290 1548 1658 1720 1935 2487 2580 3096 3316 3870 4145 4974 5160 6632 7461 7740 8290 9948 12435 14922 15480 16580 19896 24870 29844 33160 35647 37305 49740 59688 71294 74610 99480 106941 142588 149220 178235 213882 285176 298440 320823 356470 427764 534705 641646 712940 855528 1069410 1283292 1425880 1604115 2138820 2566584 3208230 4277640 6416460 12832920