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20332368 = 2432723877
BaseRepresentation
bin100110110001…
…1111101010000
31102020222202200
41031203331100
520201113433
62003443200
7334552020
oct115437520
942228680
1020332368
1110528011
126986500
13429b7b4
1429b3a80
151bb9613
hex1363f50

20332368 has 120 divisors (see below), whose sum is σ = 67936128. Its totient is φ = 5550336.

The previous prime is 20332363. The next prime is 20332369. The reversal of 20332368 is 86323302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332363) 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 23 ways as a sum of consecutive naturals, for example, 22746 + ... + 23622.

Almost surely, 220332368 is an apocalyptic number.

20332368 is a gapful number since it is divisible by the number (28) 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 20332368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33968064).

20332368 is an abundant number, since it is smaller than the sum of its proper divisors (47603760).

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

20332368 is a wasteful number, since it uses less digits than its factorization.

20332368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20332368 is about 4509.1427123124. The cubic root of 20332368 is about 272.9371509309.

The spelling of 20332368 in words is "twenty million, three hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 877 966 1008 1104 1288 1449 1656 1754 1932 2576 2631 2898 3312 3508 3864 5262 5796 6139 7016 7728 7893 10524 11592 12278 14032 15786 18417 20171 21048 23184 24556 31572 36834 40342 42096 49112 55251 60513 63144 73668 80684 98224 110502 121026 126288 141197 147336 161368 181539 221004 242052 282394 294672 322736 363078 423591 442008 484104 564788 726156 847182 884016 968208 1129576 1270773 1452312 1694364 2259152 2541546 2904624 3388728 5083092 6777456 10166184 20332368