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13058112 = 263232957
BaseRepresentation
bin110001110100…
…000001000000
3220120102100210
4301310001000
511320324422
61143514120
7215664204
oct61640100
926512323
1013058112
117409831
124458940
1329227c2
141a3cb04
15122e10c
hexc74040

13058112 has 56 divisors (see below), whose sum is σ = 36063936. Its totient is φ = 4162048.

The previous prime is 13058083. The next prime is 13058113. The reversal of 13058112 is 21185031.

It is not an unprimeable number, because it can be changed into a prime (13058113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938 + ... + 5894.

Almost surely, 213058112 is an apocalyptic number.

13058112 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 13058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031968).

13058112 is an abundant number, since it is smaller than the sum of its proper divisors (23005824).

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

13058112 is a wasteful number, since it uses less digits than its factorization.

13058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 13058112 is about 3613.6009740977. The cubic root of 13058112 is about 235.4833089356.

The spelling of 13058112 in words is "thirteen million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2957 4416 5914 8871 11828 17742 23656 35484 47312 68011 70968 94624 136022 141936 189248 204033 272044 283872 408066 544088 567744 816132 1088176 1632264 2176352 3264528 4352704 6529056 13058112