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11638420 = 225581921
BaseRepresentation
bin101100011001…
…011010010100
3210220021220121
4230121122110
510434412140
61053241324
7200632153
oct54313224
923807817
1011638420
11662a132
123a93244
132546551
14178d59a
15104d64a
hexb19694

11638420 has 12 divisors (see below), whose sum is σ = 24440724. Its totient is φ = 4655360.

The previous prime is 11638411. The next prime is 11638427. The reversal of 11638420 is 2483611.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 4605316 = 2652^2 + 2146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290941 + ... + 290980.

It is an arithmetic number, because the mean of its divisors is an integer number (2036727).

Almost surely, 211638420 is an apocalyptic number.

11638420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638420 is an abundant number, since it is smaller than the sum of its proper divisors (12802304).

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

11638420 is a wasteful number, since it uses less digits than its factorization.

11638420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581930 (or 581928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11638420 is about 3411.5128608874. The cubic root of 11638420 is about 226.6198817320.

The spelling of 11638420 in words is "eleven million, six hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 581921 1163842 2327684 2909605 5819210 11638420