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20112032 = 251921741
BaseRepresentation
bin100110010111…
…0001010100000
31101211210112002
41030232022200
520122041112
61555023132
7332643443
oct114561240
941753462
1020112032
1110397516
12689aaa8
134222415
14295765a
151b741c2
hex132e2a0

20112032 has 36 divisors (see below), whose sum is σ = 41813226. Its totient is φ = 9521280.

The previous prime is 20112031. The next prime is 20112061. The reversal of 20112032 is 23021102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20106256 + 5776 = 4484^2 + 76^2 .

It is not an unprimeable number, because it can be changed into a prime (20112031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10682 + ... + 12422.

Almost surely, 220112032 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 20112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906613).

20112032 is an abundant number, since it is smaller than the sum of its proper divisors (21701194).

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

20112032 is a wasteful number, since it uses less digits than its factorization.

20112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20112032 is about 4484.6440215473. The cubic root of 20112032 is about 271.9476542867.

Adding to 20112032 its reverse (23021102), we get a palindrome (43133134).

The spelling of 20112032 in words is "twenty million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 1741 2888 3482 5776 6964 11552 13928 27856 33079 55712 66158 132316 264632 529264 628501 1058528 1257002 2514004 5028008 10056016 20112032