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131380434 = 2336736313
BaseRepresentation
bin1111101010010…
…11010011010010
3100011012211002000
413311023103102
5232113133214
621011534430
73153500223
oct765132322
9304184060
10131380434
1168185079
1237bba416
13212acc03
141363d24a
15b802809
hex7d4b4d2

131380434 has 32 divisors (see below), whose sum is σ = 296322240. Its totient is φ = 43138656.

The previous prime is 131380409. The next prime is 131380489. The reversal of 131380434 is 434083131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131380398 and 131380407.

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, 14539 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (9260070).

Almost surely, 2131380434 is an apocalyptic number.

131380434 is an abundant number, since it is smaller than the sum of its proper divisors (164941806).

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

131380434 is a wasteful number, since it uses less digits than its factorization.

131380434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36391 (or 36385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131380434 is about 11462.1304302472. The cubic root of 131380434 is about 508.3664688842.

The spelling of 131380434 in words is "one hundred thirty-one million, three hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 36313 72626 108939 217878 326817 653634 980451 1960902 2432971 4865942 7298913 14597826 21896739 43793478 65690217 131380434