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57359020 = 22517732311
BaseRepresentation
bin1101101011001…
…1101010101100
310222221010210011
43122303222230
5104140442040
65405223004
71264354315
oct332635254
9128833704
1057359020
112a417754
1217261a64
13bb63b64
14789160c
1550803ea
hex36b3aac

57359020 has 48 divisors (see below), whose sum is σ = 129342528. Its totient is φ = 21288960.

The previous prime is 57359017. The next prime is 57359039. The reversal of 57359020 is 2095375.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23665 + ... + 25975.

It is an arithmetic number, because the mean of its divisors is an integer number (2694636).

Almost surely, 257359020 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 57359020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64671264).

57359020 is an abundant number, since it is smaller than the sum of its proper divisors (71983508).

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

57359020 is a wasteful number, since it uses less digits than its factorization.

57359020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 57359020 is about 7573.5737931310. The cubic root of 57359020 is about 385.6564277969.

The spelling of 57359020 in words is "fifty-seven million, three hundred fifty-nine thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2311 2482 4622 4964 6205 9244 11555 12410 23110 24820 39287 46220 78574 157148 168703 196435 337406 392870 674812 785740 843515 1687030 2867951 3374060 5735902 11471804 14339755 28679510 57359020