Search a number
-
+
57165240 = 233511231127
BaseRepresentation
bin1101101000010…
…0010110111000
310222120021222010
43122010112320
5104113241430
65401125520
71262616336
oct332042670
9128507863
1057165240
112a2a5100
12171898a0
13bac68b2
147840b56
155042cb0
hex36845b8

57165240 has 192 divisors, whose sum is σ = 196116480. Its totient is φ = 13305600.

The previous prime is 57165239. The next prime is 57165253. The reversal of 57165240 is 4256175.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57165198 and 57165207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450057 + ... + 450183.

It is an arithmetic number, because the mean of its divisors is an integer number (1021440).

Almost surely, 257165240 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 57165240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

57165240 is an abundant number, since it is smaller than the sum of its proper divisors (138951240).

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

57165240 is a wasteful number, since it uses less digits than its factorization.

57165240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57165240 is about 7560.7698020770. The cubic root of 57165240 is about 385.2216410862.

The spelling of 57165240 in words is "fifty-seven million, one hundred sixty-five thousand, two hundred forty".