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57601020 = 2235960017
BaseRepresentation
bin1101101110111…
…0101111111100
311000101102202010
43123232233330
5104221213040
65414331220
71266413001
oct333565774
9130342663
1057601020
112a572554
1217359b10
13bc1a059
1479158a8
1550cbe80
hex36eebfc

57601020 has 24 divisors (see below), whose sum is σ = 161283024. Its totient is φ = 15360256.

The previous prime is 57600997. The next prime is 57601031. The reversal of 57601020 is 2010675.

It is a super-3 number, since 3×576010203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479949 + ... + 480068.

It is an arithmetic number, because the mean of its divisors is an integer number (6720126).

Almost surely, 257601020 is an apocalyptic number.

It is an amenable number.

57601020 is an abundant number, since it is smaller than the sum of its proper divisors (103682004).

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

57601020 is a wasteful number, since it uses less digits than its factorization.

57601020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960029 (or 960027 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 57601020 is about 7589.5335825069. The cubic root of 57601020 is about 386.1980334565.

Adding to 57601020 its reverse (2010675), we get a palindrome (59611695).

The spelling of 57601020 in words is "fifty-seven million, six hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 960017 1920034 2880051 3840068 4800085 5760102 9600170 11520204 14400255 19200340 28800510 57601020