Search a number
-
+
13117692 = 223733187
BaseRepresentation
bin110010000010…
…100011111100
3220200110002110
4302002203330
511324231232
61145054020
7216333000
oct62024374
926613073
1013117692
11744a575
124487310
132943963
141a56700
151241acc
hexc828fc

13117692 has 48 divisors (see below), whose sum is σ = 35705600. Its totient is φ = 3746736.

The previous prime is 13117691. The next prime is 13117697. The reversal of 13117692 is 29671131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523 + ... + 5709.

Almost surely, 213117692 is an apocalyptic number.

13117692 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 13117692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17852800).

13117692 is an abundant number, since it is smaller than the sum of its proper divisors (22587908).

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

13117692 is a wasteful number, since it uses less digits than its factorization.

13117692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3199 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 13117692 is about 3621.8354462896. The cubic root of 13117692 is about 235.8409106876.

The spelling of 13117692 in words is "thirteen million, one hundred seventeen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 3187 4116 6374 9561 12748 19122 22309 38244 44618 66927 89236 133854 156163 267708 312326 468489 624652 936978 1093141 1873956 2186282 3279423 4372564 6558846 13117692