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57243960 = 23325198369
BaseRepresentation
bin1101101001011…
…1100100111000
310222201021221200
43122113210320
5104123301320
65402534200
71263365004
oct332274470
9128637850
1057243960
112a349264
1217207360
13bb23687
147861704
15505b290
hex3697938

57243960 has 96 divisors (see below), whose sum is σ = 195858000. Its totient is φ = 14459904.

The previous prime is 57243959. The next prime is 57243961. The reversal of 57243960 is 6934275.

It is an interprime number because it is at equal distance from previous prime (57243959) and next prime (57243961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57243961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2656 + ... + 11024.

Almost surely, 257243960 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 57243960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929000).

57243960 is an abundant number, since it is smaller than the sum of its proper divisors (138614040).

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

57243960 is a wasteful number, since it uses less digits than its factorization.

57243960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57243960 is about 7565.9738302482. The cubic root of 57243960 is about 385.3983844976.

The spelling of 57243960 in words is "fifty-seven million, two hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 8369 16738 25107 33476 41845 50214 66952 75321 83690 100428 125535 150642 159011 167380 200856 251070 301284 318022 334760 376605 477033 502140 602568 636044 753210 795055 954066 1004280 1272088 1431099 1506420 1590110 1908132 2385165 2862198 3012840 3180220 3816264 4770330 5724396 6360440 7155495 9540660 11448792 14310990 19081320 28621980 57243960