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57337140 = 22357211647
BaseRepresentation
bin1101101010111…
…0010100110100
310222220000202210
43122232110310
5104134242030
65404533420
71264233450
oct332562464
9128800683
1057337140
112a402273
1217251270
13bb56c03
147887660
155078bb0
hex36ae534

57337140 has 96 divisors (see below), whose sum is σ = 184633344. Its totient is φ = 13023360.

The previous prime is 57337139. The next prime is 57337151. The reversal of 57337140 is 4173375.

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 = 57337098 and 57337107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88297 + ... + 88943.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 257337140 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 57337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92316672).

57337140 is an abundant number, since it is smaller than the sum of its proper divisors (127296204).

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

57337140 is a wasteful number, since it uses less digits than its factorization.

57337140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 57337140 is about 7572.1291589618. The cubic root of 57337140 is about 385.6073844451.

The spelling of 57337140 in words is "fifty-seven million, three hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 647 844 1055 1266 1294 1477 1941 2110 2532 2588 2954 3165 3235 3882 4220 4431 4529 5908 6330 6470 7385 7764 8862 9058 9705 12660 12940 13587 14770 17724 18116 19410 22155 22645 27174 29540 38820 44310 45290 54348 67935 88620 90580 135870 136517 271740 273034 409551 546068 682585 819102 955619 1365170 1638204 1911238 2047755 2730340 2866857 3822476 4095510 4778095 5733714 8191020 9556190 11467428 14334285 19112380 28668570 57337140