Search a number
-
+
131685696 = 263376207
BaseRepresentation
bin1111101100101…
…01110101000000
3100011210022211000
413312111311000
5232202420241
621022252000
73156211212
oct766256500
9304708730
10131685696
116837345a
1238127000
1321388b3c
14136bc5b2
15b862eb6
hex7d95d40

131685696 has 56 divisors (see below), whose sum is σ = 387136640. Its totient is φ = 43894656.

The previous prime is 131685683. The next prime is 131685703. The reversal of 131685696 is 696586131.

It is a super-3 number, since 3×1316856963 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36376 + ... + 39831.

Almost surely, 2131685696 is an apocalyptic number.

131685696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131685696 is an abundant number, since it is smaller than the sum of its proper divisors (255450944).

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

131685696 is an equidigital number, since it uses as much as digits as its factorization.

131685696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76228 (or 76212 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 131685696 is about 11475.4388151391. The cubic root of 131685696 is about 508.7598935991.

The spelling of 131685696 in words is "one hundred thirty-one million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 76207 152414 228621 304828 457242 609656 685863 914484 1219312 1371726 1828968 2057589 2438624 2743452 3657936 4115178 4877248 5486904 7315872 8230356 10973808 14631744 16460712 21947616 32921424 43895232 65842848 131685696