Search a number
-
+
57235640 = 23571118583
BaseRepresentation
bin1101101001010…
…1100010111000
310222200212112112
43122111202320
5104123020030
65402431452
71263331520
oct332254270
9128625475
1057235640
112a342a90
1217202588
13bb1c957
14785c680
155058a95
hex36958b8

57235640 has 64 divisors (see below), whose sum is σ = 160565760. Its totient is φ = 17838720.

The previous prime is 57235637. The next prime is 57235643. The reversal of 57235640 is 4653275.

57235640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57235637) and next prime (57235643).

It is a junction number, because it is equal to n+sod(n) for n = 57235597 and 57235606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57235643) 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, 6212 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (2508840).

Almost surely, 257235640 is an apocalyptic number.

It is an amenable number.

57235640 is an abundant number, since it is smaller than the sum of its proper divisors (103330120).

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

57235640 is a wasteful number, since it uses less digits than its factorization.

57235640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18608 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 57235640 is about 7565.4239801878. The cubic root of 57235640 is about 385.3797119604.

It can be divided in two parts, 57235 and 640, that added together give a palindrome (57875).

The spelling of 57235640 in words is "fifty-seven million, two hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 18583 37166 74332 92915 130081 148664 185830 204413 260162 371660 408826 520324 650405 743320 817652 1022065 1040648 1300810 1430891 1635304 2044130 2601620 2861782 4088260 5203240 5723564 7154455 8176520 11447128 14308910 28617820 57235640