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61300920 = 23354091249
BaseRepresentation
bin1110100111011…
…0000010111000
311021100102001110
43221312002320
5111143112140
610025520320
71343022612
oct351660270
9137312043
1061300920
113166a31a
12186430a0
13c914145
1481d9db2
1555ad380
hex3a760b8

61300920 has 64 divisors (see below), whose sum is σ = 184500000. Its totient is φ = 16293888.

The previous prime is 61300909. The next prime is 61300933. The reversal of 61300920 is 2900316.

61300920 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 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 15 ways as a sum of consecutive naturals, for example, 48456 + ... + 49704.

Almost surely, 261300920 is an apocalyptic number.

61300920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61300920 is an abundant number, since it is smaller than the sum of its proper divisors (123199080).

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

61300920 is a wasteful number, since it uses less digits than its factorization.

61300920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 61300920 is about 7829.4904048731. The cubic root of 61300920 is about 394.2959632167.

The spelling of 61300920 in words is "sixty-one million, three hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 409 818 1227 1249 1636 2045 2454 2498 3272 3747 4090 4908 4996 6135 6245 7494 8180 9816 9992 12270 12490 14988 16360 18735 24540 24980 29976 37470 49080 49960 74940 149880 510841 1021682 1532523 2043364 2554205 3065046 4086728 5108410 6130092 7662615 10216820 12260184 15325230 20433640 30650460 61300920