Search a number
-
+
13891992 = 2331779431
BaseRepresentation
bin110100111111…
…100110011000
3222010210020020
4310333212120
512024020432
61213430440
7226036302
oct64774630
928123206
1013891992
117929294
12479b420
132b5521a
141bb8972
15134622c
hexd3f998

13891992 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4293120.

The previous prime is 13891987. The next prime is 13891993. The reversal of 13891992 is 29919831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13891993) 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, 32017 + ... + 32447.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 213891992 is an apocalyptic number.

13891992 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 13891992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

13891992 is an abundant number, since it is smaller than the sum of its proper divisors (23432808).

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

13891992 is a wasteful number, since it uses less digits than its factorization.

13891992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 13891992 is about 3727.1962652911. The cubic root of 13891992 is about 240.3928288942.

The spelling of 13891992 in words is "thirteen million, eight hundred ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 431 474 632 862 948 1293 1343 1724 1896 2586 2686 3448 4029 5172 5372 7327 8058 10344 10744 14654 16116 21981 29308 32232 34049 43962 58616 68098 87924 102147 136196 175848 204294 272392 408588 578833 817176 1157666 1736499 2315332 3472998 4630664 6945996 13891992