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20315232 = 253373359
BaseRepresentation
bin100110101111…
…1110001100000
31102020010021000
41031133301200
520200041412
62003232000
7334451040
oct115376140
942203230
1020315232
1110516153
126978600
134293a62
1429ab720
151bb44dc
hex135fc60

20315232 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 5802624.

The previous prime is 20315227. The next prime is 20315263. The reversal of 20315232 is 23251302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 4369 + ... + 7727.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 220315232 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 20315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

20315232 is an abundant number, since it is smaller than the sum of its proper divisors (47422368).

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

20315232 is a wasteful number, since it uses less digits than its factorization.

20315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20315232 is about 4507.2421723267. The cubic root of 20315232 is about 272.8604527722.

Adding to 20315232 its reverse (23251302), we get a palindrome (43566534).

The spelling of 20315232 in words is "twenty million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3359 6048 6718 10077 13436 20154 23513 26872 30231 40308 47026 53744 60462 70539 80616 90693 94052 107488 120924 141078 161232 181386 188104 211617 241848 282156 322464 362772 376208 423234 483696 564312 634851 725544 752416 846468 967392 1128624 1269702 1451088 1692936 2257248 2539404 2902176 3385872 5078808 6771744 10157616 20315232