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61134164 = 22721323993
BaseRepresentation
bin1110100100110…
…1010101010100
311021000221022022
43221031111110
5111122243124
610022152312
71341426500
oct351152524
9137027268
1061134164
1131566003
1218582698
13c886280
148195300
155578c5e
hex3a4d554

61134164 has 36 divisors (see below), whose sum is σ = 134030484. Its totient is φ = 24183936.

The previous prime is 61134137. The next prime is 61134167. The reversal of 61134164 is 46143116.

61134164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2917264 + 58216900 = 1708^2 + 7630^2 .

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 (61134167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9449 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (3723069).

Almost surely, 261134164 is an apocalyptic number.

It is an amenable number.

61134164 is an abundant number, since it is smaller than the sum of its proper divisors (72896320).

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

61134164 is a wasteful number, since it uses less digits than its factorization.

61134164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24024 (or 24015 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 61134164 is about 7818.8339284065. The cubic root of 61134164 is about 393.9381060067.

The spelling of 61134164 in words is "sixty-one million, one hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 23993 47986 95972 167951 311909 335902 623818 671804 1175657 1247636 2183363 2351314 4366726 4702628 8733452 15283541 30567082 61134164