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131905206 = 23310392351
BaseRepresentation
bin1111101110010…
…11011010110110
3100012012110221000
413313023122312
5232231431311
621031104130
73161114166
oct767133266
9305173830
10131905206
1168503374
1238212046
1321434a24
14137385a6
15b8a8056
hex7dcb6b6

131905206 has 32 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 43907400.

The previous prime is 131905183. The next prime is 131905229. The reversal of 131905206 is 602509131.

131905206 is a `hidden beast` number, since 131 + 9 + 0 + 520 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131905183) and next prime (131905229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131905206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54931 + ... + 57281.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2131905206 is an apocalyptic number.

131905206 is an abundant number, since it is smaller than the sum of its proper divisors (161624394).

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

131905206 is a wasteful number, since it uses less digits than its factorization.

131905206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131905206 is about 11484.9991728341. Note that the first 3 decimals coincide. The cubic root of 131905206 is about 509.0424246363.

The spelling of 131905206 in words is "one hundred thirty-one million, nine hundred five thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 1039 2078 2351 3117 4702 6234 7053 9351 14106 18702 21159 28053 42318 56106 63477 126954 2442689 4885378 7328067 14656134 21984201 43968402 65952603 131905206