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20380032 = 27335897
BaseRepresentation
bin100110110111…
…1100110000000
31102100102011000
41031233212000
520204130112
62004452000
7335141001
oct115574600
942312130
1020380032
111055a902
1269aa000
1342b73ba
1429c71a8
151bc87dc
hex136f980

20380032 has 64 divisors (see below), whose sum is σ = 60159600. Its totient is φ = 6792192.

The previous prime is 20379977. The next prime is 20380033. The reversal of 20380032 is 23008302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20379987 and 20380014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20380033) 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, 508 + ... + 6404.

Almost surely, 220380032 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 20380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30079800).

20380032 is an abundant number, since it is smaller than the sum of its proper divisors (39779568).

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

20380032 is an equidigital number, since it uses as much as digits as its factorization.

20380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20380032 is about 4514.4248803142. The cubic root of 20380032 is about 273.1502614410.

Adding to 20380032 its reverse (23008302), we get a palindrome (43388334).

The spelling of 20380032 in words is "twenty million, three hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5897 11794 17691 23588 35382 47176 53073 70764 94352 106146 141528 159219 188704 212292 283056 318438 377408 424584 566112 636876 754816 849168 1132224 1273752 1698336 2264448 2547504 3396672 5095008 6793344 10190016 20380032