Search a number
-
+
57274140 = 22357311223
BaseRepresentation
bin1101101001111…
…0111100011100
310222202211100110
43122132330130
5104130233030
65403330020
71263552000
oct332367434
9128684313
1057274140
112a369a00
1217220910
13bb34331
14786c700
1550651b0
hex369ef1c

57274140 has 288 divisors, whose sum is σ = 214502400. Its totient is φ = 11383680.

The previous prime is 57274127. The next prime is 57274157. The reversal of 57274140 is 4147275.

It is a super-2 number, since 2×572741402 = 6560654225479200, which contains 22 as substring.

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 = 57274098 and 57274107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490169 + ... + 2490191.

It is an arithmetic number, because the mean of its divisors is an integer number (744800).

Almost surely, 257274140 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 57274140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

57274140 is an abundant number, since it is smaller than the sum of its proper divisors (157228260).

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

57274140 is a wasteful number, since it uses less digits than its factorization.

57274140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 57274140 is about 7567.9680231883. The cubic root of 57274140 is about 385.4661021501.

The spelling of 57274140 in words is "fifty-seven million, two hundred seventy-four thousand, one hundred forty".