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61060064 = 2513373967
BaseRepresentation
bin1110100011101…
…1001111100000
311020220011122212
43220323033200
5111112410224
610020421252
71341000452
oct350731740
9136804585
1061060064
113151536a
1218547828
13c85b620
1481762d2
155561d0e
hex3a3b3e0

61060064 has 48 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 27412992.

The previous prime is 61060063. The next prime is 61060067. The reversal of 61060064 is 46006016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61060061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13409 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 261060064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

61060064 is an abundant number, since it is smaller than the sum of its proper divisors (71931424).

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

61060064 is a wasteful number, since it uses less digits than its factorization.

61060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 61060064 is about 7814.0939334001. The cubic root of 61060064 is about 393.7788790778.

The spelling of 61060064 in words is "sixty-one million, sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 3967 7696 7934 15392 15868 31736 51571 63472 103142 126944 146779 206284 293558 412568 587116 825136 1174232 1650272 1908127 2348464 3816254 4696928 7632508 15265016 30530032 61060064