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20716965 = 35517259
BaseRepresentation
bin100111100000…
…1110110100101
31102222112100000
41033001312211
520300420330
62020011513
7341043213
oct117016645
942875300
1020716965
111076aa65
126b30b99
1343a4879
142a73cb3
151c43560
hex13c1da5

20716965 has 72 divisors (see below), whose sum is σ = 40229280. Its totient is φ = 10222848.

The previous prime is 20716963. The next prime is 20716967. The reversal of 20716965 is 56961702.

It is an interprime number because it is at equal distance from previous prime (20716963) and next prime (20716967).

It is not a de Polignac number, because 20716965 - 21 = 20716963 is a prime.

It is a super-2 number, since 2×207169652 = 858385277622450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20716961) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 351106 + ... + 351164.

It is an arithmetic number, because the mean of its divisors is an integer number (558740).

It is a vampire number, since it can be written as 26017965 (with its own digits).

Almost surely, 220716965 is an apocalyptic number.

It is an amenable number.

20716965 is a deficient number, since it is larger than the sum of its proper divisors (19512315).

20716965 is an equidigital number, since it uses as much as digits as its factorization.

20716965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20716965 is about 4551.5892828769. The cubic root of 20716965 is about 274.6473275245.

The spelling of 20716965 in words is "twenty million, seven hundred sixteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 59 81 85 135 153 177 243 255 289 295 405 459 531 765 867 885 1003 1215 1377 1445 1593 2295 2601 2655 3009 4131 4335 4779 5015 6885 7803 7965 9027 13005 14337 15045 17051 20655 23409 23895 27081 39015 45135 51153 70227 71685 81243 85255 117045 135405 153459 243729 255765 351135 406215 460377 767295 1218645 1381131 2301885 4143393 6905655 20716965