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13691080 = 23513113233
BaseRepresentation
bin110100001110…
…100011001000
3221202120122001
4310032203020
512001103310
61205240344
7224241454
oct64164310
927676561
1013691080
117801347
1247030b4
132ab4940
141b65664
15130693a
hexd0e8c8

13691080 has 64 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 4988928.

The previous prime is 13691033. The next prime is 13691107. The reversal of 13691080 is 8019631.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15876 + 13675204 = 126^2 + 3698^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58644 + ... + 58876.

Almost surely, 213691080 is an apocalyptic number.

13691080 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 13691080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

13691080 is an abundant number, since it is smaller than the sum of its proper divisors (19920680).

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

13691080 is a wasteful number, since it uses less digits than its factorization.

13691080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 13691080 is about 3700.1459430677. The cubic root of 13691080 is about 239.2283084135.

The spelling of 13691080 in words is "thirteen million, six hundred ninety-one thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 233 260 452 466 520 565 904 932 1130 1165 1469 1864 2260 2330 2938 3029 4520 4660 5876 6058 7345 9320 11752 12116 14690 15145 24232 26329 29380 30290 52658 58760 60580 105316 121160 131645 210632 263290 342277 526580 684554 1053160 1369108 1711385 2738216 3422770 6845540 13691080