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57993180 = 22357138079
BaseRepresentation
bin1101110100111…
…0011111011100
311001010100200120
43131032133130
5104321240210
65430554540
71302635220
oct335163734
9131110616
1057993180
112a810153
1217508a50
13c0266bb
1479b8780
155158270
hex374e7dc

57993180 has 48 divisors (see below), whose sum is σ = 185579520. Its totient is φ = 13255488.

The previous prime is 57993167. The next prime is 57993181. The reversal of 57993180 is 8139975.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57993181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68620 + ... + 69459.

It is an arithmetic number, because the mean of its divisors is an integer number (3866240).

Almost surely, 257993180 is an apocalyptic number.

It is an amenable number.

57993180 is an abundant number, since it is smaller than the sum of its proper divisors (127586340).

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

57993180 is a wasteful number, since it uses less digits than its factorization.

57993180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138098 (or 138096 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 57993180 is about 7615.3253377646. The cubic root of 57993180 is about 387.0724914113.

The spelling of 57993180 in words is "fifty-seven million, nine hundred ninety-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 138079 276158 414237 552316 690395 828474 966553 1380790 1656948 1933106 2071185 2761580 2899659 3866212 4142370 4832765 5799318 8284740 9665530 11598636 14498295 19331060 28996590 57993180