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57150720 = 2832511241
BaseRepresentation
bin1101101000000…
…0110100000000
310222112120001100
43122000310000
5104112310340
65400534400
71262526114
oct332006400
9128476040
1057150720
112a295200
1217181400
13bac00c3
147839744
15503d830
hex3680d00

57150720 has 324 divisors, whose sum is σ = 222646788. Its totient is φ = 13516800.

The previous prime is 57150707. The next prime is 57150739. The reversal of 57150720 is 2705175.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 47114496 = 3168^2 + 6864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393900 + ... + 1393940.

Almost surely, 257150720 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 57150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111323394).

57150720 is an abundant number, since it is smaller than the sum of its proper divisors (165496068).

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

57150720 is a wasteful number, since it uses less digits than its factorization.

57150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 57150720 is about 7559.8095214099. The cubic root of 57150720 is about 385.1890228268.

Adding to 57150720 its reverse (2705175), we get a palindrome (59855895).

The spelling of 57150720 in words is "fifty-seven million, one hundred fifty thousand, seven hundred twenty".