Search a number
-
+
12946032 = 2432112743
BaseRepresentation
bin110001011000…
…101001110000
3220100201121200
4301120221300
511303233112
61141251200
7215016351
oct61305160
926321550
1012946032
117342600
124403b00
1328b3798
141a0dd28
15120acdc
hexc58a70

12946032 has 90 divisors (see below), whose sum is σ = 39877656. Its totient is φ = 3917760.

The previous prime is 12946019. The next prime is 12946051. The reversal of 12946032 is 23064921.

It is a junction number, because it is equal to n+sod(n) for n = 12945987 and 12946005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17053 + ... + 17795.

Almost surely, 212946032 is an apocalyptic number.

12946032 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 12946032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938828).

12946032 is an abundant number, since it is smaller than the sum of its proper divisors (26931624).

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

12946032 is a wasteful number, since it uses less digits than its factorization.

12946032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12946032 is about 3598.0594769959. The cubic root of 12946032 is about 234.8076409882.

The spelling of 12946032 in words is "twelve million, nine hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 743 792 968 1089 1452 1486 1584 1936 2178 2229 2904 2972 4356 4458 5808 5944 6687 8173 8712 8916 11888 13374 16346 17424 17832 24519 26748 32692 35664 49038 53496 65384 73557 89903 98076 106992 130768 147114 179806 196152 269709 294228 359612 392304 539418 588456 719224 809127 1078836 1176912 1438448 1618254 2157672 3236508 4315344 6473016 12946032