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20752732 = 22711137173
BaseRepresentation
bin100111100101…
…0100101011100
31110001100101201
41033022211130
520303041412
62020445244
7341252410
oct117124534
943040351
1020752732
1110794920
126b49824
1343b7c30
142a82d40
151c4de57
hex13ca95c

20752732 has 96 divisors (see below), whose sum is σ = 50125824. Its totient is φ = 7257600.

The previous prime is 20752729. The next prime is 20752741. The reversal of 20752732 is 23725702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20752732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284248 + ... + 284320.

It is an arithmetic number, because the mean of its divisors is an integer number (522144).

Almost surely, 220752732 is an apocalyptic number.

20752732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20752732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062912).

20752732 is an abundant number, since it is smaller than the sum of its proper divisors (29373092).

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

20752732 is a wasteful number, since it uses less digits than its factorization.

20752732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 20752732 is about 4555.5166556605. The cubic root of 20752732 is about 274.8052924773.

The spelling of 20752732 in words is "twenty million, seven hundred fifty-two thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 73 77 91 142 143 146 154 182 284 286 292 308 364 497 511 572 781 803 923 949 994 1001 1022 1562 1606 1846 1898 1988 2002 2044 3124 3212 3692 3796 4004 5183 5467 5621 6461 6643 10153 10366 10439 10934 11242 12922 13286 20306 20732 20878 21868 22484 25844 26572 36281 40612 41756 57013 67379 71071 72562 73073 114026 134758 142142 145124 146146 228052 269516 284284 292292 399091 471653 741169 798182 943306 1482338 1596364 1886612 2964676 5188183 10376366 20752732