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20030832 = 24321131231
BaseRepresentation
bin100110001101…
…0010101110000
31101200200010200
41030122111300
520111441312
61553155200
7332154633
oct114322560
941620120
1020030832
1110341508
12685bb00
1341c4483
142935c1a
151b5a0dc
hex131a570

20030832 has 60 divisors (see below), whose sum is σ = 56600544. Its totient is φ = 6612480.

The previous prime is 20030831. The next prime is 20030839. The reversal of 20030832 is 23803002.

It is a super-2 number, since 2×200308322 = 802468461224448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030831) 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 11 ways as a sum of consecutive naturals, for example, 15657 + ... + 16887.

Almost surely, 220030832 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 20030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300272).

20030832 is an abundant number, since it is smaller than the sum of its proper divisors (36569712).

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

20030832 is a wasteful number, since it uses less digits than its factorization.

20030832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1349 counting only the distinct ones).

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

The square root of 20030832 is about 4475.5817498958. The cubic root of 20030832 is about 271.5811749174.

Adding to 20030832 its reverse (23803002), we get a palindrome (43833834).

The spelling of 20030832 in words is "twenty million, thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1231 1356 1808 2034 2462 2712 3693 4068 4924 5424 7386 8136 9848 11079 14772 16272 19696 22158 29544 44316 59088 88632 139103 177264 278206 417309 556412 834618 1112824 1251927 1669236 2225648 2503854 3338472 5007708 6676944 10015416 20030832