Search a number
-
+
57270640 = 2457313299
BaseRepresentation
bin1101101001111…
…0000101110000
310222202122112211
43122132011300
5104130130030
65403301504
71263535540
oct332360560
9128678484
1057270640
112a367309
121721a894
13bb3286b
14786b320
15506412a
hex369e170

57270640 has 80 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 18996480.

The previous prime is 57270607. The next prime is 57270649. The reversal of 57270640 is 4607275.

57270640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57270649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15711 + ... + 19009.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 257270640 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 57270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

57270640 is an abundant number, since it is smaller than the sum of its proper divisors (99862160).

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

57270640 is a wasteful number, since it uses less digits than its factorization.

57270640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 57270640 is about 7567.7367818919. The cubic root of 57270640 is about 385.4582500965.

The spelling of 57270640 in words is "fifty-seven million, two hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3299 3472 4340 6598 8680 13196 16495 17360 23093 26392 32990 46186 52784 65980 92372 102269 115465 131960 184744 204538 230930 263920 369488 409076 461860 511345 715883 818152 923720 1022690 1431766 1636304 1847440 2045380 2863532 3579415 4090760 5727064 7158830 8181520 11454128 14317660 28635320 57270640