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20638912 = 267232003
BaseRepresentation
bin100111010111…
…0110011000000
31102211120021011
41032232303000
520240421122
62014210304
7340266520
oct116566300
942746234
1020638912
1110717358
126ab3994
134378198
142a53680
151c2a377
hex13aecc0

20638912 has 56 divisors (see below), whose sum is σ = 48865536. Its totient is φ = 8456448.

The previous prime is 20638861. The next prime is 20638931. The reversal of 20638912 is 21983602.

It is a tau number, because it is divible by the number of its divisors (56).

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, 9303 + ... + 11305.

Almost surely, 220638912 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 20638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24432768).

20638912 is an abundant number, since it is smaller than the sum of its proper divisors (28226624).

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

20638912 is a wasteful number, since it uses less digits than its factorization.

20638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20638912 is about 4543.0069337389. The cubic root of 20638912 is about 274.3019740692.

The spelling of 20638912 in words is "twenty million, six hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2003 2576 4006 5152 8012 10304 14021 16024 28042 32048 46069 56084 64096 92138 112168 128192 184276 224336 322483 368552 448672 644966 737104 897344 1289932 1474208 2579864 2948416 5159728 10319456 20638912