Search a number
-
+
13831896 = 23313431031
BaseRepresentation
bin110100110000…
…111011011000
3222000201210110
4310300323120
512020110041
61212244320
7225366141
oct64607330
928021713
1013831896
117898121
1247706a0
132b33a70
141ba0ac8
151333516
hexd30ed8

13831896 has 64 divisors (see below), whose sum is σ = 38142720. Its totient is φ = 4152960.

The previous prime is 13831891. The next prime is 13831903. The reversal of 13831896 is 69813831.

13831896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831891) 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, 12901 + ... + 13931.

It is an arithmetic number, because the mean of its divisors is an integer number (595980).

Almost surely, 213831896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071360).

13831896 is an abundant number, since it is smaller than the sum of its proper divisors (24310824).

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

13831896 is a wasteful number, since it uses less digits than its factorization.

13831896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 13831896 is about 3719.1257037105. The cubic root of 13831896 is about 240.0456857473.

The spelling of 13831896 in words is "thirteen million, eight hundred thirty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1031 1032 1118 1677 2062 2236 3093 3354 4124 4472 6186 6708 8248 12372 13403 13416 24744 26806 40209 44333 53612 80418 88666 107224 132999 160836 177332 265998 321672 354664 531996 576329 1063992 1152658 1728987 2305316 3457974 4610632 6915948 13831896