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20158632 = 2334132393
BaseRepresentation
bin100110011100…
…1100010101000
31101221011110000
41030321202220
520130034012
62000023000
7333226344
oct114714250
941834400
1020158632
111041952a
126901a60
13423a6b0
14296a624
151b82ddc
hex13398a8

20158632 has 80 divisors (see below), whose sum is σ = 60831540. Its totient is φ = 6200064.

The previous prime is 20158627. The next prime is 20158661. The reversal of 20158632 is 23685102.

20158632 is a `hidden beast` number, since 20 + 1 + 5 + 8 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 4901796 = 3906^2 + 2214^2 .

It is a super-2 number, since 2×201586322 = 812740888222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20158596 and 20158605.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7228 + ... + 9620.

Almost surely, 220158632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20158632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30415770).

20158632 is an abundant number, since it is smaller than the sum of its proper divisors (40672908).

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

20158632 is a wasteful number, since it uses less digits than its factorization.

20158632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20158632 is about 4489.8365226364. The cubic root of 20158632 is about 272.1575284155.

The spelling of 20158632 in words is "twenty million, one hundred fifty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2393 2808 4212 4786 7179 8424 9572 14358 19144 21537 28716 31109 43074 57432 62218 64611 86148 93327 124436 129222 172296 186654 193833 248872 258444 279981 373308 387666 516888 559962 746616 775332 839943 1119924 1550664 1679886 2239848 2519829 3359772 5039658 6719544 10079316 20158632