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13074180 = 2235724447
BaseRepresentation
bin110001110111…
…111100000100
3220121020101220
4301313330010
511321333210
61144120340
7216062100
oct61677404
926536356
1013074180
11741a909
1244660b0
132929c02
141a44900
151233c70
hexc77f04

13074180 has 72 divisors (see below), whose sum is σ = 42594048. Its totient is φ = 2987712.

The previous prime is 13074167. The next prime is 13074181. The reversal of 13074180 is 8147031.

It is a self number, because there is not a number n which added to its sum of digits gives 13074180.

It is not an unprimeable number, because it can be changed into a prime (13074181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (591584).

Almost surely, 213074180 is an apocalyptic number.

13074180 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 13074180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297024).

13074180 is an abundant number, since it is smaller than the sum of its proper divisors (29519868).

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

13074180 is a wasteful number, since it uses less digits than its factorization.

13074180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13074180 is about 3615.8235576422. The cubic root of 13074180 is about 235.5798567086.

The spelling of 13074180 in words is "thirteen million, seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4447 8894 13341 17788 22235 26682 31129 44470 53364 62258 66705 88940 93387 124516 133410 155645 186774 217903 266820 311290 373548 435806 466935 622580 653709 871612 933870 1089515 1307418 1867740 2179030 2614836 3268545 4358060 6537090 13074180