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57842120 = 23571671237
BaseRepresentation
bin1101110010100…
…1100111001000
311000211200110202
43130221213020
5104301421440
65423431332
71301435630
oct334514710
9130750422
1057842120
112a717706
1217455548
13bca2a0b
1479796c0
155128615
hex37299c8

57842120 has 64 divisors (see below), whose sum is σ = 149748480. Its totient is φ = 19696896.

The previous prime is 57842117. The next prime is 57842149. The reversal of 57842120 is 2124875.

57842120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46142 + ... + 47378.

It is an arithmetic number, because the mean of its divisors is an integer number (2339820).

Almost surely, 257842120 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 57842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74874240).

57842120 is an abundant number, since it is smaller than the sum of its proper divisors (91906360).

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

57842120 is a wasteful number, since it uses less digits than its factorization.

57842120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 57842120 is about 7605.4007126515. The cubic root of 57842120 is about 386.7361184533.

Adding to 57842120 its reverse (2124875), we get a palindrome (59966995).

The spelling of 57842120 in words is "fifty-seven million, eight hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 334 668 835 1169 1237 1336 1670 2338 2474 3340 4676 4948 5845 6185 6680 8659 9352 9896 11690 12370 17318 23380 24740 34636 43295 46760 49480 69272 86590 173180 206579 346360 413158 826316 1032895 1446053 1652632 2065790 2892106 4131580 5784212 7230265 8263160 11568424 14460530 28921060 57842120