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13068180 = 2232579919
BaseRepresentation
bin110001110110…
…011110010100
3220120221011200
4301312132110
511321140210
61144032500
7216035436
oct61663624
926527150
1013068180
117416354
124462730
132927268
141a42656
1512320c0
hexc76794

13068180 has 72 divisors (see below), whose sum is σ = 40185600. Its totient is φ = 3436992.

The previous prime is 13068179. The next prime is 13068197. The reversal of 13068180 is 8186031.

It is a congruent number.

It is an unprimeable number.

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, 13761 + ... + 14679.

Almost surely, 213068180 is an apocalyptic number.

13068180 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 13068180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092800).

13068180 is an abundant number, since it is smaller than the sum of its proper divisors (27117420).

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

13068180 is a wasteful number, since it uses less digits than its factorization.

13068180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13068180 is about 3614.9937759283. The cubic root of 13068180 is about 235.5438137746.

The spelling of 13068180 in words is "thirteen million, sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 919 948 1185 1422 1580 1838 2370 2757 2844 3555 3676 4595 4740 5514 7110 8271 9190 11028 13785 14220 16542 18380 27570 33084 41355 55140 72601 82710 145202 165420 217803 290404 363005 435606 653409 726010 871212 1089015 1306818 1452020 2178030 2613636 3267045 4356060 6534090 13068180