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131406700 = 225210712281
BaseRepresentation
bin1111101010100…
…01101101101100
3100011021011002211
413311101231230
5232120003300
621012300204
73153636625
oct765215554
9304234084
10131406700
11681a2887
1238011664
13212bbb59
1413648a4c
15b80a4ba
hex7d51b6c

131406700 has 36 divisors (see below), whose sum is σ = 287840952. Its totient is φ = 52067200.

The previous prime is 131406677. The next prime is 131406707. The reversal of 131406700 is 7604131.

It is not an unprimeable number, because it can be changed into a prime (131406707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4560 + ... + 16840.

It is an arithmetic number, because the mean of its divisors is an integer number (7995582).

Almost surely, 2131406700 is an apocalyptic number.

131406700 is a gapful number since it is divisible by the number (10) 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 131406700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143920476).

131406700 is an abundant number, since it is smaller than the sum of its proper divisors (156434252).

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

131406700 is a wasteful number, since it uses less digits than its factorization.

131406700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 131406700 is about 11463.2761460239. The cubic root of 131406700 is about 508.4003447147.

The spelling of 131406700 in words is "one hundred thirty-one million, four hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 12281 24562 49124 61405 122810 245620 307025 614050 1228100 1314067 2628134 5256268 6570335 13140670 26281340 32851675 65703350 131406700