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20964320 = 2551310079
BaseRepresentation
bin100111111111…
…0001111100000
31110110002122022
41033332033200
520331324240
62025201012
7343123316
oct117761740
943402568
1020964320
1110919893
127030168
134460330
142ada0b6
151c919b5
hex13fe3e0

20964320 has 48 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 7739904.

The previous prime is 20964287. The next prime is 20964331. The reversal of 20964320 is 2346902.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20964320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2960 + ... + 7119.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 220964320 is an apocalyptic number.

20964320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20964320 is an abundant number, since it is smaller than the sum of its proper divisors (32379040).

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

20964320 is a wasteful number, since it uses less digits than its factorization.

20964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 20964320 is about 4578.6810327866. The cubic root of 20964320 is about 275.7360776098.

The spelling of 20964320 in words is "twenty million, nine hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 10079 20158 40316 50395 80632 100790 131027 161264 201580 262054 322528 403160 524108 655135 806320 1048216 1310270 1612640 2096432 2620540 4192864 5241080 10482160 20964320