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20795328 = 263279457
BaseRepresentation
bin100111101010…
…0111111000000
31110010111211100
41033110333000
520310422303
62021414400
7341520531
oct117247700
943114740
1020795328
1110813924
126b6a400
134401438
142a94688
151c5b8a3
hex13d4fc0

20795328 has 84 divisors (see below), whose sum is σ = 60492640. Its totient is φ = 6829056.

The previous prime is 20795311. The next prime is 20795339. The reversal of 20795328 is 82359702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20795292 and 20795301.

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 11 ways as a sum of consecutive naturals, for example, 45276 + ... + 45732.

Almost surely, 220795328 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 20795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30246320).

20795328 is an abundant number, since it is smaller than the sum of its proper divisors (39697312).

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

20795328 is a wasteful number, since it uses less digits than its factorization.

20795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20795328 is about 4560.1894697479. The cubic root of 20795328 is about 274.9931810981.

The spelling of 20795328 in words is "twenty million, seven hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 457 474 576 632 711 914 948 1264 1371 1422 1828 1896 2528 2742 2844 3656 3792 4113 5056 5484 5688 7312 7584 8226 10968 11376 14624 15168 16452 21936 22752 29248 32904 36103 43872 45504 65808 72206 87744 108309 131616 144412 216618 263232 288824 324927 433236 577648 649854 866472 1155296 1299708 1732944 2310592 2599416 3465888 5198832 6931776 10397664 20795328