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57157120 = 29583269
BaseRepresentation
bin1101101000001…
…0011000000000
310222112212211101
43122002120000
5104113011440
65401024144
71262553556
oct332023000
9128485741
1057157120
112a299a99
1217185054
13bac2ca7
14783bbd6
15504069a
hex3682600

57157120 has 80 divisors (see below), whose sum is σ = 139209840. Its totient is φ = 22503424.

The previous prime is 57157117. The next prime is 57157127. The reversal of 57157120 is 2175175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57157127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212346 + ... + 212614.

It is an arithmetic number, because the mean of its divisors is an integer number (1740123).

Almost surely, 257157120 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 57157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69604920).

57157120 is an abundant number, since it is smaller than the sum of its proper divisors (82052720).

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

57157120 is an equidigital number, since it uses as much as digits as its factorization.

57157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 57157120 is about 7560.2328006484. The cubic root of 57157120 is about 385.2034007019.

The spelling of 57157120 in words is "fifty-seven million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 269 320 332 415 512 538 640 664 830 1076 1280 1328 1345 1660 2152 2560 2656 2690 3320 4304 5312 5380 6640 8608 10624 10760 13280 17216 21248 21520 22327 26560 34432 42496 43040 44654 53120 68864 86080 89308 106240 111635 137728 172160 178616 212480 223270 344320 357232 446540 688640 714464 893080 1428928 1786160 2857856 3572320 5715712 7144640 11431424 14289280 28578560 57157120