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57020040 = 23325711317
BaseRepresentation
bin1101100110000…
…0111010001000
310222021220210100
43121200322020
5104044120130
65354045400
71261443120
oct331407210
9128256710
1057020040
112a206000
1217119860
13ba7578c
147803c80
155014c60
hex3660e88

57020040 has 384 divisors, whose sum is σ = 246654720. Its totient is φ = 11151360.

The previous prime is 57020039. The next prime is 57020099. The reversal of 57020040 is 4002075.

57020040 = T273 + T274 + ... + T712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57019995 and 57020022.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3354112 + ... + 3354128.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 257020040 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 57020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123327360).

57020040 is an abundant number, since it is smaller than the sum of its proper divisors (189634680).

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

57020040 is a wasteful number, since it uses less digits than its factorization.

57020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57020040 is about 7551.1615000608. The cubic root of 57020040 is about 384.8952095757.

The spelling of 57020040 in words is "fifty-seven million, twenty thousand, forty".