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57077040 = 2435237821
BaseRepresentation
bin1101100110111…
…0110100110000
310222101210222110
43121232310300
5104102431130
65355205320
71262101236
oct331566460
9128353873
1057077040
112a244909
1217146840
13ba956c7
14781a956
155026ab0
hex366ed30

57077040 has 40 divisors (see below), whose sum is σ = 176939568. Its totient is φ = 15220480.

The previous prime is 57077023. The next prime is 57077047. The reversal of 57077040 is 4077075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 57076989 and 57077007.

It is not an unprimeable number, because it can be changed into a prime (57077047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118671 + ... + 119150.

Almost surely, 257077040 is an apocalyptic number.

It is an amenable number.

57077040 is an abundant number, since it is smaller than the sum of its proper divisors (119862528).

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

57077040 is a wasteful number, since it uses less digits than its factorization.

57077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237837 (or 237831 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 57077040 is about 7554.9348111019. The cubic root of 57077040 is about 385.0234201753.

The spelling of 57077040 in words is "fifty-seven million, seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 237821 475642 713463 951284 1189105 1426926 1902568 2378210 2853852 3567315 3805136 4756420 5707704 7134630 9512840 11415408 14269260 19025680 28538520 57077040