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57000990 = 23515112583
BaseRepresentation
bin1101100101110…
…0010000011110
310222020221122210
43121130100132
5104043012430
65353421250
71261333434
oct331342036
9128227583
1057000990
112a1a2762
121710a826
13ba69bc7
1477dad54
15500e2b0
hex365c41e

57000990 has 32 divisors (see below), whose sum is σ = 137719296. Its totient is φ = 15098400.

The previous prime is 57000967. The next prime is 57000991. The reversal of 57000990 is 9900075.

It is a happy number.

57000990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×570009902 = 6498225721960200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57000991) by changing a digit.

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, 1762 + ... + 10821.

It is an arithmetic number, because the mean of its divisors is an integer number (4303728).

Almost surely, 257000990 is an apocalyptic number.

57000990 is an abundant number, since it is smaller than the sum of its proper divisors (80718306).

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

57000990 is a wasteful number, since it uses less digits than its factorization.

57000990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 57000990 is about 7549.8999993377. The cubic root of 57000990 is about 384.8523411944.

The spelling of 57000990 in words is "fifty-seven million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 151 302 453 755 906 1510 2265 4530 12583 25166 37749 62915 75498 125830 188745 377490 1900033 3800066 5700099 9500165 11400198 19000330 28500495 57000990