Search a number
-
+
131406140 = 2256570307
BaseRepresentation
bin1111101010100…
…01100100111100
3100011021010100002
413311101210330
5232114444030
621012253432
73153635165
oct765214474
9304233302
10131406140
11681a2418
1238011278
13212bb818
141364876c
15b80a245
hex7d5193c

131406140 has 12 divisors (see below), whose sum is σ = 275952936. Its totient is φ = 52562448.

The previous prime is 131406103. The next prime is 131406169. The reversal of 131406140 is 41604131.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6570307 = 131406140 / (1 + 3 + 1 + 4 + 0 + 6 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3285134 + ... + 3285173.

It is an arithmetic number, because the mean of its divisors is an integer number (22996078).

Almost surely, 2131406140 is an apocalyptic number.

131406140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131406140 is an abundant number, since it is smaller than the sum of its proper divisors (144546796).

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

131406140 is a wasteful number, since it uses less digits than its factorization.

131406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570316 (or 6570314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131406140 is about 11463.2517201709. The cubic root of 131406140 is about 508.3996225177.

The spelling of 131406140 in words is "one hundred thirty-one million, four hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6570307 13140614 26281228 32851535 65703070 131406140