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20359332 = 22327173467
BaseRepresentation
bin100110110101…
…0100010100100
31102022100202100
41031222202210
520202444312
62004212100
7335023440
oct115524244
942270670
1020359332
11105462a4
12699a030
1342aab56
1429bd820
151bc25dc
hex136a8a4

20359332 has 72 divisors (see below), whose sum is σ = 59282496. Its totient is φ = 5770944.

The previous prime is 20359271. The next prime is 20359333. The reversal of 20359332 is 23395302.

It is a junction number, because it is equal to n+sod(n) for n = 20359296 and 20359305.

It is not an unprimeable number, because it can be changed into a prime (20359333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43363 + ... + 43829.

It is an arithmetic number, because the mean of its divisors is an integer number (823368).

Almost surely, 220359332 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 20359332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29641248).

20359332 is an abundant number, since it is smaller than the sum of its proper divisors (38923164).

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

20359332 is a wasteful number, since it uses less digits than its factorization.

20359332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 20359332 is about 4512.1316470156. The cubic root of 20359332 is about 273.0577505326.

The spelling of 20359332 in words is "twenty million, three hundred fifty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 467 519 692 934 1038 1211 1401 1557 1868 2076 2422 2802 3114 3269 3633 4203 4844 5604 6228 6538 7266 8406 9807 10899 13076 14532 16812 19614 21798 29421 39228 43596 58842 80791 117684 161582 242373 323164 484746 565537 727119 969492 1131074 1454238 1696611 2262148 2908476 3393222 5089833 6786444 10179666 20359332