Search a number
-
+
20188580 = 2251138933
BaseRepresentation
bin100110100000…
…0110110100100
31101222200112012
41031000312210
520132013310
62000413352
7333412556
oct115006644
941880465
1020188580
1110439a85
126917258
13424b209
1429774d6
151b8bc05
hex1340da4

20188580 has 24 divisors (see below), whose sum is σ = 42775992. Its totient is φ = 8003072.

The previous prime is 20188577. The next prime is 20188589. The reversal of 20188580 is 8588102.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 19838116 = 592^2 + 4454^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2207 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (1782333).

Almost surely, 220188580 is an apocalyptic number.

20188580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20188580 is an abundant number, since it is smaller than the sum of its proper divisors (22587412).

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

20188580 is a wasteful number, since it uses less digits than its factorization.

20188580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 20188580 is about 4493.1703729104. The cubic root of 20188580 is about 272.2922356513.

The spelling of 20188580 in words is "twenty million, one hundred eighty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 8933 17866 35732 44665 89330 178660 1009429 2018858 4037716 5047145 10094290 20188580