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20683296 = 253337647
BaseRepresentation
bin100111011100…
…1101000100000
31102220211011000
41032321220200
520243331141
62015152000
7340543104
oct116715040
942824130
1020683296
1110747737
126b15600
13439244a
142a65904
151c385b6
hex13b9a20

20683296 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 6697728.

The previous prime is 20683283. The next prime is 20683297. The reversal of 20683296 is 69238602.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20683296.

It is not an unprimeable number, because it can be changed into a prime (20683297) 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 15 ways as a sum of consecutive naturals, for example, 31645 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 220683296 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 20683296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

20683296 is an abundant number, since it is smaller than the sum of its proper divisors (41369184).

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

20683296 is a wasteful number, since it uses less digits than its factorization.

20683296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20683296 is about 4547.8891807079. The cubic root of 20683296 is about 274.4984621730.

The spelling of 20683296 in words is "twenty million, six hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 647 666 864 888 999 1184 1294 1332 1776 1941 1998 2588 2664 3552 3882 3996 5176 5328 5823 7764 7992 10352 10656 11646 15528 15984 17469 20704 23292 23939 31056 31968 34938 46584 47878 62112 69876 71817 93168 95756 139752 143634 186336 191512 215451 279504 287268 383024 430902 559008 574536 646353 766048 861804 1149072 1292706 1723608 2298144 2585412 3447216 5170824 6894432 10341648 20683296