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57143680 = 275118117
BaseRepresentation
bin1101100111111…
…1000110000000
310222112012101121
43121333012000
5104112044210
65400442024
71262466436
oct331770600
9128465347
1057143680
112a28a990
1217179314
13bab9b39
147836d56
15503b6da
hex367f180

57143680 has 64 divisors (see below), whose sum is σ = 149046480. Its totient is φ = 20776960.

The previous prime is 57143677. The next prime is 57143701. The reversal of 57143680 is 8634175.

57143680 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 2982 + ... + 11098.

Almost surely, 257143680 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 57143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523240).

57143680 is an abundant number, since it is smaller than the sum of its proper divisors (91902800).

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

57143680 is a wasteful number, since it uses less digits than its factorization.

57143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 57143680 is about 7559.3438868727. The cubic root of 57143680 is about 385.1732059245.

The spelling of 57143680 in words is "fifty-seven million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 8117 16234 32468 40585 64936 81170 89287 129872 162340 178574 259744 324680 357148 446435 519488 649360 714296 892870 1038976 1298720 1428592 1785740 2597440 2857184 3571480 5194880 5714368 7142960 11428736 14285920 28571840 57143680