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131896974 = 231119107983
BaseRepresentation
bin1111101110010…
…01011010001110
3100012012001122010
413313021122032
5232231200344
621031002050
73161051166
oct767113216
9305161563
10131896974
11684a8170
1238209326
1321431061
14137355a6
15b8a58b9
hex7dc968e

131896974 has 64 divisors (see below), whose sum is σ = 306063360. Its totient is φ = 37473120.

The previous prime is 131896967. The next prime is 131896981. The reversal of 131896974 is 479698131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131896967) and next prime (131896981).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133687 + ... + 134669.

It is an arithmetic number, because the mean of its divisors is an integer number (4782240).

Almost surely, 2131896974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131896974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153031680).

131896974 is an abundant number, since it is smaller than the sum of its proper divisors (174166386).

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

131896974 is a wasteful number, since it uses less digits than its factorization.

131896974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125.

The product of its digits is 326592, while the sum is 48.

The square root of 131896974 is about 11484.6407867203. The cubic root of 131896974 is about 509.0318348990.

It can be divided in two parts, 131896 and 974, that added together give a triangular number (132870 = T515).

The spelling of 131896974 in words is "one hundred thirty-one million, eight hundred ninety-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 107 114 209 214 321 418 627 642 983 1177 1254 1966 2033 2354 2949 3531 4066 5898 6099 7062 10813 12198 18677 21626 22363 32439 37354 44726 56031 64878 67089 105181 112062 134178 205447 210362 315543 410894 616341 631086 1156991 1232682 1998439 2313982 3470973 3996878 5995317 6941946 11990634 21982829 43965658 65948487 131896974