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57101400 = 23325231723
BaseRepresentation
bin1101100111010…
…0110001011000
310222110001101200
43121310301120
5104104221100
65355514200
71262232246
oct331646130
9128401350
1057101400
112a261144
1217158960
13baa3815
147825796
15502de00
hex3674c58

57101400 has 72 divisors (see below), whose sum is σ = 191771580. Its totient is φ = 15226560.

The previous prime is 57101399. The next prime is 57101413. The reversal of 57101400 is 410175.

57101400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14062 + ... + 17661.

Almost surely, 257101400 is an apocalyptic number.

57101400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57101400 is an abundant number, since it is smaller than the sum of its proper divisors (134670180).

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

57101400 is a wasteful number, since it uses less digits than its factorization.

57101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31745 (or 31733 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 57101400 is about 7556.5468303981. The cubic root of 57101400 is about 385.0781873024.

Adding to 57101400 its reverse (410175), we get a palindrome (57511575).

The spelling of 57101400 in words is "fifty-seven million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 31723 63446 95169 126892 158615 190338 253784 285507 317230 380676 475845 571014 634460 761352 793075 951690 1142028 1268920 1427535 1586150 1903380 2284056 2379225 2855070 3172300 3806760 4758450 5710140 6344600 7137675 9516900 11420280 14275350 19033800 28550700 57101400