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57161780 = 225131092017
BaseRepresentation
bin1101101000001…
…1100000110100
310222120010012222
43122003200310
5104113134110
65401101512
71262603264
oct332034064
9128503188
1057161780
112a2a2545
1217187898
13bac5150
14783d7a4
155041c55
hex3683834

57161780 has 48 divisors (see below), whose sum is σ = 130524240. Its totient is φ = 20901888.

The previous prime is 57161779. The next prime is 57161789. The reversal of 57161780 is 8716175.

It can be written as a sum of positive squares in 8 ways, for example, as 38416 + 57123364 = 196^2 + 7558^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57161780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57161789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27332 + ... + 29348.

It is an arithmetic number, because the mean of its divisors is an integer number (2719255).

Almost surely, 257161780 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 57161780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65262120).

57161780 is an abundant number, since it is smaller than the sum of its proper divisors (73362460).

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

57161780 is a wasteful number, since it uses less digits than its factorization.

57161780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 57161780 is about 7560.5409859348. The cubic root of 57161780 is about 385.2138689169.

The spelling of 57161780 in words is "fifty-seven million, one hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2017 2180 2834 4034 5668 7085 8068 10085 14170 20170 26221 28340 40340 52442 104884 131105 219853 262210 439706 524420 879412 1099265 2198530 2858089 4397060 5716178 11432356 14290445 28580890 57161780