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20088432 = 2433721373
BaseRepresentation
bin100110010100…
…0011001110000
31101210121011000
41030220121300
520120312212
61554322000
7332514600
oct114503160
941717130
1020088432
1110380811
126889300
134214760
14294cc00
151b6c1dc
hex1328670

20088432 has 240 divisors, whose sum is σ = 73224480. Its totient is φ = 5225472.

The previous prime is 20088427. The next prime is 20088433. The reversal of 20088432 is 23488002.

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 = 20088396 and 20088405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20088433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275148 + ... + 275220.

It is an arithmetic number, because the mean of its divisors is an integer number (305102).

Almost surely, 220088432 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 20088432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612240).

20088432 is an abundant number, since it is smaller than the sum of its proper divisors (53136048).

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

20088432 is a wasteful number, since it uses less digits than its factorization.

20088432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20088432 is about 4482.0120481766. The cubic root of 20088432 is about 271.8412424198.

It can be divided in two parts, 2008 and 8432, that added together give a triangular number (10440 = T144).

The spelling of 20088432 in words is "twenty million, eighty-eight thousand, four hundred thirty-two".