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57120 = 2535717
BaseRepresentation
bin1101111100100000
32220100120
431330200
53311440
61120240
7325350
oct157440
986316
1057120
1139a08
1229080
131cccb
1416b60
1511dd0
hexdf20

57120 has 96 divisors (see below), whose sum is σ = 217728. Its totient is φ = 12288.

The previous prime is 57119. The next prime is 57131. The reversal of 57120 is 2175.

57120 = T6 + T7 + ... + T69.

It is a happy number.

57120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2392-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 57120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

257120 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 57120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

57120 is an abundant number, since it is smaller than the sum of its proper divisors (160608).

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

57120 is a wasteful number, since it uses less digits than its factorization.

57120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 57120 is about 238.9979079406. The cubic root of 57120 is about 38.5119994081.

Adding to 57120 its reverse (2175), we get a palindrome (59295).

Subtracting from 57120 its reverse (2175), we obtain a palindrome (54945).

The spelling of 57120 in words is "fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 204 210 224 238 240 255 272 280 336 340 357 408 420 476 480 510 544 560 595 672 680 714 816 840 952 1020 1120 1190 1360 1428 1632 1680 1785 1904 2040 2380 2720 2856 3360 3570 3808 4080 4760 5712 7140 8160 9520 11424 14280 19040 28560 57120