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61156134 = 2341371409
BaseRepresentation
bin1110100101001…
…0101100100110
311021002001110000
43221102230212
5111123444014
610022442130
71341550524
oct351225446
9137061400
1061156134
1131580566
1218593346
13c893280
14819d314
155580509
hex3a52b26

61156134 has 80 divisors (see below), whose sum is σ = 150020640. Its totient is φ = 18506880.

The previous prime is 61156129. The next prime is 61156163. The reversal of 61156134 is 43165116.

61156134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 61156098 and 61156107.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 149322 + ... + 149730.

It is an arithmetic number, because the mean of its divisors is an integer number (1875258).

Almost surely, 261156134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61156134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010320).

61156134 is an abundant number, since it is smaller than the sum of its proper divisors (88864506).

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

61156134 is a wasteful number, since it uses less digits than its factorization.

61156134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 61156134 is about 7820.2387431587. The cubic root of 61156134 is about 393.9852906634.

The spelling of 61156134 in words is "sixty-one million, one hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 81 117 142 162 213 234 351 409 426 639 702 818 923 1053 1227 1278 1846 1917 2106 2454 2769 3681 3834 5317 5538 5751 7362 8307 10634 11043 11502 15951 16614 22086 24921 29039 31902 33129 47853 49842 58078 66258 74763 87117 95706 143559 149526 174234 261351 287118 377507 430677 522702 755014 784053 861354 1132521 1568106 2265042 2352159 3397563 4704318 6795126 10192689 20385378 30578067 61156134