Search a number
-
+
57640080 = 2435376491
BaseRepresentation
bin1101101111100…
…0010010010000
311000110102022210
43123320102100
5104223440310
65415232120
71266634611
oct333702220
9130412283
1057640080
112a599933
1217378640
13bc31a74
147925c08
1550d8820
hex36f8490

57640080 has 80 divisors (see below), whose sum is σ = 183541824. Its totient is φ = 14952960.

The previous prime is 57640061. The next prime is 57640111. The reversal of 57640080 is 8004675.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5635 + ... + 12125.

Almost surely, 257640080 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 57640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91770912).

57640080 is an abundant number, since it is smaller than the sum of its proper divisors (125901744).

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

57640080 is a wasteful number, since it uses less digits than its factorization.

57640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57640080 is about 7592.1064270728. The cubic root of 57640080 is about 386.2853090332.

The spelling of 57640080 in words is "fifty-seven million, six hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 6491 8880 12982 19473 25964 32455 38946 51928 64910 77892 97365 103856 129820 155784 194730 240167 259640 311568 389460 480334 519280 720501 778920 960668 1200835 1441002 1557840 1921336 2401670 2882004 3602505 3842672 4803340 5764008 7205010 9606680 11528016 14410020 19213360 28820040 57640080