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20446992 = 24361753
BaseRepresentation
bin100110111111…
…1111100010000
31102110211000000
41031333330100
520213300432
62010130000
7335540136
oct115777420
942424000
1020446992
11105a6145
126a20900
13430ba17
142a03756
151bdd57c
hex137ff10

20446992 has 70 divisors (see below), whose sum is σ = 59430782. Its totient is φ = 6811776.

The previous prime is 20446969. The next prime is 20447003. The reversal of 20446992 is 29964402.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 8503056 = 3456^2 + 2916^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10788 + ... + 12540.

Almost surely, 220446992 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 20446992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29715391).

20446992 is an abundant number, since it is smaller than the sum of its proper divisors (38983790).

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

20446992 is an equidigital number, since it uses as much as digits as its factorization.

20446992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20446992 is about 4521.8350257390. The cubic root of 20446992 is about 273.4490857480.

The spelling of 20446992 in words is "twenty million, four hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1753 1944 2916 3506 3888 5259 5832 7012 10518 11664 14024 15777 21036 28048 31554 42072 47331 63108 84144 94662 126216 141993 189324 252432 283986 378648 425979 567972 757296 851958 1135944 1277937 1703916 2271888 2555874 3407832 5111748 6815664 10223496 20446992