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20711916 = 22331729389
BaseRepresentation
bin100111100000…
…0100111101100
31102222021102000
41033000213230
520300240131
62015532300
7341022411
oct117004754
942867360
1020711916
1110767195
126b2a090
1343a2494
142a72108
151c41ce6
hex13c09ec

20711916 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6257664.

The previous prime is 20711909. The next prime is 20711941. The reversal of 20711916 is 61911702.

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 20711916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53050 + ... + 53438.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 220711916 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 20711916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20711916 is an abundant number, since it is smaller than the sum of its proper divisors (38256084).

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

20711916 is a wasteful number, since it uses less digits than its factorization.

20711916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 20711916 is about 4551.0346076469. The cubic root of 20711916 is about 274.6250139758.

The spelling of 20711916 in words is "twenty million, seven hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 389 459 493 522 612 778 783 918 986 1044 1167 1479 1556 1566 1836 1972 2334 2958 3132 3501 4437 4668 5916 6613 7002 8874 10503 11281 13226 13311 14004 17748 19839 21006 22562 26452 26622 33843 39678 42012 45124 53244 59517 67686 79356 101529 119034 135372 178551 191777 203058 238068 304587 357102 383554 406116 575331 609174 714204 767108 1150662 1218348 1725993 2301324 3451986 5177979 6903972 10355958 20711916