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130461741 = 3237401977
BaseRepresentation
bin1111100011010…
…11000000101101
3100002111010212100
413301223000231
5231344233431
620540125313
73142622634
oct761530055
9302433770
10130461741
1167707923
1237836839
132104a9c7
141348051b
15b6c04e6
hex7c6b02d

130461741 has 24 divisors (see below), whose sum is σ = 194219064. Its totient is φ = 84326400.

The previous prime is 130461739. The next prime is 130461761. The reversal of 130461741 is 147164031.

It is a happy number.

130461741 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 617 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115670025 + 14791716 = 10755^2 + 3846^2 .

It is not a de Polignac number, because 130461741 - 21 = 130461739 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130461761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133045 + ... + 134021.

It is an arithmetic number, because the mean of its divisors is an integer number (8092461).

Almost surely, 2130461741 is an apocalyptic number.

It is an amenable number.

130461741 is a deficient number, since it is larger than the sum of its proper divisors (63757323).

130461741 is a wasteful number, since it uses less digits than its factorization.

130461741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130461741 is about 11421.9849851066. The cubic root of 130461741 is about 507.1787589022.

The spelling of 130461741 in words is "one hundred thirty million, four hundred sixty-one thousand, seven hundred forty-one".

Divisors: 1 3 9 37 111 333 401 977 1203 2931 3609 8793 14837 36149 44511 108447 133533 325341 391777 1175331 3525993 14495749 43487247 130461741