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61680912 = 2432973607
BaseRepresentation
bin1110101101001…
…0110100010000
311022001201022020
43223102310100
5111242242122
610042011440
71346164506
oct353226420
9138051266
1061680912
11318a9867
12187a6b80
13ca180a7
148298676
155635c5c
hex3ad2d10

61680912 has 80 divisors (see below), whose sum is σ = 167370240. Its totient is φ = 19547136.

The previous prime is 61680911. The next prime is 61680919. The reversal of 61680912 is 21908616.

It is not an unprimeable number, because it can be changed into a prime (61680911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101313 + ... + 101919.

It is an arithmetic number, because the mean of its divisors is an integer number (2092128).

Almost surely, 261680912 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 61680912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685120).

61680912 is an abundant number, since it is smaller than the sum of its proper divisors (105689328).

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

61680912 is a wasteful number, since it uses less digits than its factorization.

61680912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 61680912 is about 7853.7196283035. The cubic root of 61680912 is about 395.1090058606.

The spelling of 61680912 in words is "sixty-one million, six hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 219 232 292 348 438 464 584 607 696 876 1168 1214 1392 1752 1821 2117 2428 3504 3642 4234 4856 6351 7284 8468 9712 12702 14568 16936 17603 25404 29136 33872 35206 44311 50808 52809 70412 88622 101616 105618 132933 140824 177244 211236 265866 281648 354488 422472 531732 708976 844944 1063464 1285019 2126928 2570038 3855057 5140076 7710114 10280152 15420228 20560304 30840456 61680912