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57540630 = 2357412163
BaseRepresentation
bin1101101110000…
…0000000010110
311000021100220110
43123200000112
5104212300010
65413143450
71266041640
oct333400026
9130240813
1057540630
112a531144
121732ab86
13bbc8714
1478db890
1550b9120
hex36e0016

57540630 has 96 divisors (see below), whose sum is σ = 162761472. Its totient is φ = 12752640.

The previous prime is 57540599. The next prime is 57540653. The reversal of 57540630 is 3604575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352929 + ... + 353091.

It is an arithmetic number, because the mean of its divisors is an integer number (1695432).

Almost surely, 257540630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57540630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81380736).

57540630 is an abundant number, since it is smaller than the sum of its proper divisors (105220842).

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

57540630 is a wasteful number, since it uses less digits than its factorization.

57540630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57540630 is about 7585.5540338198. The cubic root of 57540630 is about 386.0630204852.

The spelling of 57540630 in words is "fifty-seven million, five hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 163 205 210 246 287 326 410 489 574 615 815 861 978 1141 1230 1435 1630 1681 1722 2282 2445 2870 3362 3423 4305 4890 5043 5705 6683 6846 8405 8610 10086 11410 11767 13366 16810 17115 20049 23534 25215 33415 34230 35301 40098 46781 50430 58835 66830 70602 93562 100245 117670 140343 176505 200490 233905 274003 280686 353010 467810 548006 701715 822009 1370015 1403430 1644018 1918021 2740030 3836042 4110045 5754063 8220090 9590105 11508126 19180210 28770315 57540630