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57078090 = 232519291151
BaseRepresentation
bin1101100110111…
…1000101001010
310222101212102100
43121233011022
5104102444330
65355214230
71262104266
oct331570512
9128355370
1057078090
112a245683
1217147376
13ba96024
14781b0a6
155027060
hex366f14a

57078090 has 96 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 13910400.

The previous prime is 57078089. The next prime is 57078113. The reversal of 57078090 is 9087075.

57078090 is a `hidden beast` number, since 570 + 7 + 80 + 9 + 0 = 666.

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, 49015 + ... + 50165.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 257078090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57078090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

57078090 is an abundant number, since it is smaller than the sum of its proper divisors (104662710).

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

57078090 is a wasteful number, since it uses less digits than its factorization.

57078090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 57078090 is about 7555.0043017857. The cubic root of 57078090 is about 385.0257811487.

The spelling of 57078090 in words is "fifty-seven million, seventy-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 522 551 570 855 870 1102 1151 1305 1653 1710 2302 2610 2755 3306 3453 4959 5510 5755 6906 8265 9918 10359 11510 16530 17265 20718 21869 24795 33379 34530 43738 49590 51795 65607 66758 100137 103590 109345 131214 166895 196821 200274 218690 300411 328035 333790 393642 500685 600822 634201 656070 984105 1001370 1268402 1502055 1902603 1968210 3004110 3171005 3805206 5707809 6342010 9513015 11415618 19026030 28539045 57078090