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57139740 = 223257101449
BaseRepresentation
bin1101100111111…
…0001000011100
310222111222222200
43121332020130
5104111432430
65400411500
71262452110
oct331761034
9128458880
1057139740
112a287a29
1217176b90
13bab80c8
147835740
15503a460
hex367e21c

57139740 has 144 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 12902400.

The previous prime is 57139699. The next prime is 57139741. The reversal of 57139740 is 4793175.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57139695 and 57139704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57139741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127036 + ... + 127484.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 257139740 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 57139740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

57139740 is an abundant number, since it is smaller than the sum of its proper divisors (143351460).

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

57139740 is a wasteful number, since it uses less digits than its factorization.

57139740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57139740 is about 7559.0832777527. The cubic root of 57139740 is about 385.1643532843.

The spelling of 57139740 in words is "fifty-seven million, one hundred thirty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 449 505 606 630 707 898 909 1010 1212 1260 1347 1414 1515 1796 1818 2020 2121 2245 2694 2828 3030 3143 3535 3636 4041 4242 4490 4545 5388 6060 6286 6363 6735 7070 8082 8484 8980 9090 9429 10605 12572 12726 13470 14140 15715 16164 18180 18858 20205 21210 25452 26940 28287 31430 31815 37716 40410 42420 45349 47145 56574 62860 63630 80820 90698 94290 113148 127260 136047 141435 181396 188580 226745 272094 282870 317443 408141 453490 544188 565740 634886 680235 816282 906980 952329 1269772 1360470 1587215 1632564 1904658 2040705 2720940 2856987 3174430 3809316 4081410 4761645 5713974 6348860 8162820 9523290 11427948 14284935 19046580 28569870 57139740