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13076532 = 223373353
BaseRepresentation
bin110001111000…
…100000110100
3220121100122000
4301320200310
511321422112
61144135300
7216102000
oct61704064
926540560
1013076532
117421657
124467530
13292acc1
141a45700
1512347dc
hexc78834

13076532 has 96 divisors (see below), whose sum is σ = 39648000. Its totient is φ = 3725568.

The previous prime is 13076527. The next prime is 13076533. The reversal of 13076532 is 23567031.

It is a happy number.

13076532 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 653 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13076496 and 13076505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13076533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36868 + ... + 37220.

It is an arithmetic number, because the mean of its divisors is an integer number (413000).

Almost surely, 213076532 is an apocalyptic number.

13076532 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 13076532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824000).

13076532 is an abundant number, since it is smaller than the sum of its proper divisors (26571468).

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

13076532 is a wasteful number, since it uses less digits than its factorization.

13076532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13076532 is about 3616.1487801251. The cubic root of 13076532 is about 235.5939825302.

The spelling of 13076532 in words is "thirteen million, seventy-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 353 378 441 588 686 706 756 882 1029 1059 1323 1372 1412 1764 2058 2118 2471 2646 3087 3177 4116 4236 4942 5292 6174 6354 7413 9261 9531 9884 12348 12708 14826 17297 18522 19062 22239 29652 34594 37044 38124 44478 51891 66717 69188 88956 103782 121079 133434 155673 207564 242158 266868 311346 363237 467019 484316 622692 726474 934038 1089711 1452948 1868076 2179422 3269133 4358844 6538266 13076532