Search a number
-
+
13831614 = 233673823
BaseRepresentation
bin110100110000…
…110110111110
3222000201102000
4310300312332
512020102424
61212243130
7225365256
oct64606676
928021360
1013831614
117897995
1247704a6
132b338b4
141ba0966
1513333c9
hexd30dbe

13831614 has 32 divisors (see below), whose sum is σ = 31203840. Its totient is φ = 4540536.

The previous prime is 13831607. The next prime is 13831619. The reversal of 13831614 is 41613831.

13831614 is a `hidden beast` number, since 13 + 8 + 31 + 614 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (975120).

Almost surely, 213831614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15601920).

13831614 is an abundant number, since it is smaller than the sum of its proper divisors (17372226).

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

13831614 is a wasteful number, since it uses less digits than its factorization.

13831614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3895 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13831614 is about 3719.0877913811. The cubic root of 13831614 is about 240.0440544129.

The spelling of 13831614 in words is "thirteen million, eight hundred thirty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 3823 7646 11469 22938 34407 68814 103221 206442 256141 512282 768423 1536846 2305269 4610538 6915807 13831614