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20714616 = 2334132459
BaseRepresentation
bin100111100000…
…1010001111000
31102222102010000
41033001101320
520300331431
62015553000
7341033316
oct117012170
942872100
1020714616
111076921a
126b2b760
1343a3790
142a730b6
151c429e6
hex13c1478

20714616 has 80 divisors (see below), whose sum is σ = 62508600. Its totient is φ = 6371136.

The previous prime is 20714609. The next prime is 20714621. The reversal of 20714616 is 61641702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20714616.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7195 + ... + 9653.

Almost surely, 220714616 is an apocalyptic number.

20714616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20714616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254300).

20714616 is an abundant number, since it is smaller than the sum of its proper divisors (41793984).

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

20714616 is a wasteful number, since it uses less digits than its factorization.

20714616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20714616 is about 4551.3312338260. The cubic root of 20714616 is about 274.6369468058.

The spelling of 20714616 in words is "twenty million, seven hundred fourteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2459 2808 4212 4918 7377 8424 9836 14754 19672 22131 29508 31967 44262 59016 63934 66393 88524 95901 127868 132786 177048 191802 199179 255736 265572 287703 383604 398358 531144 575406 767208 796716 863109 1150812 1593432 1726218 2301624 2589327 3452436 5178654 6904872 10357308 20714616