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61020792 = 23327412953
BaseRepresentation
bin1110100011000…
…1101001111000
311020211011210100
43220301221320
5111110131132
610015515400
71340445120
oct350615170
9136734710
1061020792
1131498908
1218528b60
13c8467a1
148165c80
15555537c
hex3a31a78

61020792 has 96 divisors (see below), whose sum is σ = 193546080. Its totient is φ = 17003520.

The previous prime is 61020781. The next prime is 61020797. The reversal of 61020792 is 29702016.

61020792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61020797) 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 23 ways as a sum of consecutive naturals, for example, 19188 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (2016105).

Almost surely, 261020792 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 61020792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96773040).

61020792 is an abundant number, since it is smaller than the sum of its proper divisors (132525288).

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

61020792 is a wasteful number, since it uses less digits than its factorization.

61020792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61020792 is about 7811.5806339050. The cubic root of 61020792 is about 393.6944387211.

The spelling of 61020792 in words is "sixty-one million, twenty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 2953 3444 5166 5906 6888 8859 10332 11812 17718 20664 20671 23624 26577 35436 41342 53154 62013 70872 82684 106308 121073 124026 165368 186039 212616 242146 248052 363219 372078 484292 496104 726438 744156 847511 968584 1089657 1452876 1488312 1695022 2179314 2542533 2905752 3390044 4358628 5085066 6780088 7627599 8717256 10170132 15255198 20340264 30510396 61020792