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20859312 = 243735953
BaseRepresentation
bin100111110010…
…0100110110000
31110020202121010
41033210212300
520314444222
62023030520
7342205215
oct117444660
943222533
1020859312
1110857a01
126b9b440
1344245b6
142aadb0c
151c7080c
hex13e49b0

20859312 has 40 divisors (see below), whose sum is σ = 54633904. Its totient is φ = 6856704.

The previous prime is 20859271. The next prime is 20859331. The reversal of 20859312 is 21395802.

It is a happy number.

It is a super-2 number, since 2×208593122 = 870221794226688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20859312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 6480.

Almost surely, 220859312 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 20859312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27316952).

20859312 is an abundant number, since it is smaller than the sum of its proper divisors (33774592).

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

20859312 is a wasteful number, since it uses less digits than its factorization.

20859312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20859312 is about 4567.1995796111. The cubic root of 20859312 is about 275.2749294572.

The spelling of 20859312 in words is "twenty million, eight hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 5953 11906 17859 23812 35718 47624 71436 95248 142872 285744 434569 869138 1303707 1738276 2607414 3476552 5214828 6953104 10429656 20859312