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20907288 = 2333432251
BaseRepresentation
bin100111111000…
…0010100011000
31110100012102000
41033300110120
520323013123
62024041000
7342465123
oct117602430
943305360
1020907288
111088aa56
127003160
13444039c
142ac33ba
151c7eb43
hex13f0518

20907288 has 64 divisors (see below), whose sum is σ = 59452800. Its totient is φ = 6804000.

The previous prime is 20907287. The next prime is 20907301. The reversal of 20907288 is 88270902.

It is a super-2 number, since 2×209072882 = 874229383029888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20907287) 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 15 ways as a sum of consecutive naturals, for example, 8163 + ... + 10413.

It is an arithmetic number, because the mean of its divisors is an integer number (928950).

Almost surely, 220907288 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 20907288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29726400).

20907288 is an abundant number, since it is smaller than the sum of its proper divisors (38545512).

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

20907288 is a wasteful number, since it uses less digits than its factorization.

20907288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 20907288 is about 4572.4487968702. The cubic root of 20907288 is about 275.4858101415.

The spelling of 20907288 in words is "twenty million, nine hundred seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2251 2322 3096 4502 4644 6753 9004 9288 13506 18008 20259 27012 40518 54024 60777 81036 96793 121554 162072 193586 243108 290379 387172 486216 580758 774344 871137 1161516 1742274 2323032 2613411 3484548 5226822 6969096 10453644 20907288