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57990105 = 32573127139
BaseRepresentation
bin1101110100110…
…1101111011001
311001010012110200
43131031233121
5104321140410
65430532413
71302623235
oct335155731
9131105420
1057990105
112a808908
1217507109
13c025194
1479b75c5
1551573c0
hex374dbd9

57990105 has 48 divisors (see below), whose sum is σ = 103434240. Its totient is φ = 30046464.

The previous prime is 57990089. The next prime is 57990139. The reversal of 57990105 is 50109975.

It is a happy number.

It is not a de Polignac number, because 57990105 - 24 = 57990089 is a prime.

It is a super-2 number, since 2×579901052 = 6725704555822050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57990105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 417126 + ... + 417264.

It is an arithmetic number, because the mean of its divisors is an integer number (2154880).

Almost surely, 257990105 is an apocalyptic number.

It is an amenable number.

57990105 is a deficient number, since it is larger than the sum of its proper divisors (45444135).

57990105 is a wasteful number, since it uses less digits than its factorization.

57990105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 57990105 is about 7615.1234395773. The cubic root of 57990105 is about 387.0656499807.

The spelling of 57990105 in words is "fifty-seven million, nine hundred ninety thousand, one hundred five".

Divisors: 1 3 5 9 15 45 73 127 139 219 365 381 417 635 657 695 1095 1143 1251 1905 2085 3285 5715 6255 9271 10147 17653 27813 30441 46355 50735 52959 83439 88265 91323 139065 152205 158877 264795 417195 456615 794385 1288669 3866007 6443345 11598021 19330035 57990105