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57081120 = 25351091091
BaseRepresentation
bin1101100110111…
…1110100100000
310222102000120120
43121233310200
5104103043440
65355240240
71262116155
oct331576440
9128360516
1057081120
112a247988
1217149080
13ba97515
14781c22c
155027dd0
hex366fd20

57081120 has 96 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 15068160.

The previous prime is 57081107. The next prime is 57081127. The reversal of 57081120 is 2118075.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (57081127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51775 + ... + 52865.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 257081120 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 57081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

57081120 is an abundant number, since it is smaller than the sum of its proper divisors (124540320).

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

57081120 is a wasteful number, since it uses less digits than its factorization.

57081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 57081120 is about 7555.2048284610. The cubic root of 57081120 is about 385.0325940809.

Adding to 57081120 its reverse (2118075), we get a palindrome (59199195).

The spelling of 57081120 in words is "fifty-seven million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1091 1308 1635 1744 2180 2182 2616 3270 3273 3488 4360 4364 5232 5455 6540 6546 8720 8728 10464 10910 13080 13092 16365 17440 17456 21820 26160 26184 32730 34912 43640 52320 52368 65460 87280 104736 118919 130920 174560 237838 261840 356757 475676 523680 594595 713514 951352 1189190 1427028 1783785 1902704 2378380 2854056 3567570 3805408 4756760 5708112 7135140 9513520 11416224 14270280 19027040 28540560 57081120