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57083260 = 22513241911
BaseRepresentation
bin1101100111000…
…0010101111100
310222102010111211
43121300111330
5104103131020
65355254204
71262125333
oct331602574
9128363454
1057083260
112a249553
121714a364
13ba984a0
14781cd1a
15502885a
hex367057c

57083260 has 48 divisors (see below), whose sum is σ = 129773952. Its totient is φ = 20966400.

The previous prime is 57083233. The next prime is 57083261. The reversal of 57083260 is 6238075.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57083261) 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, 62205 + ... + 63115.

It is an arithmetic number, because the mean of its divisors is an integer number (2703624).

Almost surely, 257083260 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 57083260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64886976).

57083260 is an abundant number, since it is smaller than the sum of its proper divisors (72690692).

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

57083260 is a wasteful number, since it uses less digits than its factorization.

57083260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57083260 is about 7555.3464513548. The cubic root of 57083260 is about 385.0374057095.

The spelling of 57083260 in words is "fifty-seven million, eighty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 911 964 1205 1822 2410 3133 3644 4555 4820 6266 9110 11843 12532 15665 18220 23686 31330 47372 59215 62660 118430 219551 236860 439102 878204 1097755 2195510 2854163 4391020 5708326 11416652 14270815 28541630 57083260