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20306832 = 2437134649
BaseRepresentation
bin100110101110…
…1101110010000
31102012200201220
41031131232100
520144304312
62003125040
7334414410
oct115355620
942180656
1020306832
111050a907
126973780
13428cca0
1429a8640
151bb1c8c
hex135db90

20306832 has 80 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 5354496.

The previous prime is 20306831. The next prime is 20306837. The reversal of 20306832 is 23860302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20306831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2044 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 220306832 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 20306832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20306832 is an abundant number, since it is smaller than the sum of its proper divisors (44272368).

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

20306832 is a wasteful number, since it uses less digits than its factorization.

20306832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20306832 is about 4506.3102423158. The cubic root of 20306832 is about 272.8228398819.

The spelling of 20306832 in words is "twenty million, three hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4649 9298 13947 18596 27894 32543 37192 55788 60437 65086 74384 97629 111576 120874 130172 181311 195258 223152 241748 260344 362622 390516 423059 483496 520688 725244 781032 846118 966992 1269177 1450488 1562064 1692236 2538354 2900976 3384472 5076708 6768944 10153416 20306832