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57400240 = 2456710709
BaseRepresentation
bin1101101011110…
…1101110110000
311000000020022211
43122331232300
5104143301430
65410141504
71264615432
oct332755660
9130006284
1057400240
112a445717
1217281894
13bb79851
1478a2652
15508c72a
hex36bdbb0

57400240 has 40 divisors (see below), whose sum is σ = 135460080. Its totient is φ = 22615296.

The previous prime is 57400237. The next prime is 57400253. The reversal of 57400240 is 4200475.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 10714.

It is an arithmetic number, because the mean of its divisors is an integer number (3386502).

Almost surely, 257400240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67730040).

57400240 is an abundant number, since it is smaller than the sum of its proper divisors (78059840).

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

57400240 is a wasteful number, since it uses less digits than its factorization.

57400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 57400240 is about 7576.2946088441. The cubic root of 57400240 is about 385.7487872985.

The spelling of 57400240 in words is "fifty-seven million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 10709 21418 42836 53545 85672 107090 171344 214180 428360 717503 856720 1435006 2870012 3587515 5740024 7175030 11480048 14350060 28700120 57400240