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61405136 = 2413222709
BaseRepresentation
bin1110101000111…
…1011111010000
311021112201000022
43222033133100
5111204431021
610032043012
71343635502
oct352173720
9137481008
1061405136
1131730651
1218693468
13c94c700
148225d72
1555ce1ab
hex3a8f7d0

61405136 has 30 divisors (see below), whose sum is σ = 128833830. Its totient is φ = 28339584.

The previous prime is 61405133. The next prime is 61405153. The reversal of 61405136 is 63150416.

It can be written as a sum of positive squares in 3 ways, for example, as 7529536 + 53875600 = 2744^2 + 7340^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61405133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8651 + ... + 14058.

It is an arithmetic number, because the mean of its divisors is an integer number (4294461).

Almost surely, 261405136 is an apocalyptic number.

It is an amenable number.

61405136 is an abundant number, since it is smaller than the sum of its proper divisors (67428694).

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

61405136 is a wasteful number, since it uses less digits than its factorization.

61405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22724 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 61405136 is about 7836.1429287628. The cubic root of 61405136 is about 394.5192806027.

The spelling of 61405136 in words is "sixty-one million, four hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 22709 45418 90836 181672 295217 363344 590434 1180868 2361736 3837821 4723472 7675642 15351284 30702568 61405136