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20188180 = 2251759377
BaseRepresentation
bin100110100000…
…0110000010100
31101222122222101
41031000300110
520132010210
62000411444
7333411445
oct115006024
941878871
1020188180
1110439751
126916b84
13424ac8c
1429772cc
151b8ba3a
hex1340c14

20188180 has 24 divisors (see below), whose sum is σ = 44889768. Its totient is φ = 7600128.

The previous prime is 20188169. The next prime is 20188219. The reversal of 20188180 is 8188102.

It can be written as a sum of positive squares in 4 ways, for example, as 8655364 + 11532816 = 2942^2 + 3396^2 .

It is a super-2 number, since 2×201881802 = 815125223424800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29349 + ... + 30028.

It is an arithmetic number, because the mean of its divisors is an integer number (1870407).

Almost surely, 220188180 is an apocalyptic number.

20188180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20188180 is an abundant number, since it is smaller than the sum of its proper divisors (24701588).

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

20188180 is a wasteful number, since it uses less digits than its factorization.

20188180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59403 (or 59401 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 20188180 is about 4493.1258606899. The cubic root of 20188180 is about 272.2904373142.

It can be divided in two parts, 20 and 188180, that multiplied together give a square (3763600 = 19402).

The spelling of 20188180 in words is "twenty million, one hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 59377 118754 237508 296885 593770 1009409 1187540 2018818 4037636 5047045 10094090 20188180