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20138240 = 28515733
BaseRepresentation
bin100110011010…
…0100100000000
31101220010110202
41030310210000
520123410430
61555344332
7333113033
oct114644400
941803422
1020138240
1110405181
1268b20a8
134231325
14296301a
151b7bd45
hex1334900

20138240 has 36 divisors (see below), whose sum is σ = 48240444. Its totient is φ = 8054784.

The previous prime is 20138221. The next prime is 20138243. The reversal of 20138240 is 4283102.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 15745024 = 2096^2 + 3968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20138243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6587 + ... + 9146.

Almost surely, 220138240 is an apocalyptic number.

20138240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20138240 is an abundant number, since it is smaller than the sum of its proper divisors (28102204).

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

20138240 is an equidigital number, since it uses as much as digits as its factorization.

20138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15754 (or 15740 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20138240 is about 4487.5650413114. The cubic root of 20138240 is about 272.0657280604.

The spelling of 20138240 in words is "twenty million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 15733 31466 62932 78665 125864 157330 251728 314660 503456 629320 1006912 1258640 2013824 2517280 4027648 5034560 10069120 20138240