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20052540 = 223251011103
BaseRepresentation
bin100110001111…
…1101000111100
31101201202220200
41030133220330
520113140130
61553443500
7332305134
oct114375074
941652820
1020052540
1110356852
126870590
134201311
14293dac4
151b61760
hex131fa3c

20052540 has 72 divisors (see below), whose sum is σ = 61483968. Its totient is φ = 5289600.

The previous prime is 20052521. The next prime is 20052541. The reversal of 20052540 is 4525002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17629 + ... + 18731.

It is an arithmetic number, because the mean of its divisors is an integer number (853944).

Almost surely, 220052540 is an apocalyptic number.

20052540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741984).

20052540 is an abundant number, since it is smaller than the sum of its proper divisors (41431428).

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

20052540 is a wasteful number, since it uses less digits than its factorization.

20052540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20052540 is about 4478.0062527871. The cubic root of 20052540 is about 271.6792463260.

Adding to 20052540 its reverse (4525002), we get a palindrome (24577542).

The spelling of 20052540 in words is "twenty million, fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1103 1212 1515 1818 2020 2206 3030 3309 3636 4412 4545 5515 6060 6618 9090 9927 11030 13236 16545 18180 19854 22060 33090 39708 49635 66180 99270 111403 198540 222806 334209 445612 557015 668418 1002627 1114030 1336836 1671045 2005254 2228060 3342090 4010508 5013135 6684180 10026270 20052540