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20859696 = 243211131013
BaseRepresentation
bin100111110010…
…0101100110000
31110020210010100
41033210230300
520320002241
62023032400
7342206304
oct117445460
943223110
1020859696
1110858220
126b9b700
134424820
142aadd04
151c709b6
hex13e4b30

20859696 has 120 divisors (see below), whose sum is σ = 68651856. Its totient is φ = 5829120.

The previous prime is 20859691. The next prime is 20859719. The reversal of 20859696 is 69695802.

It is not an unprimeable number, because it can be changed into a prime (20859691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20086 + ... + 21098.

Almost surely, 220859696 is an apocalyptic number.

20859696 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 20859696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34325928).

20859696 is an abundant number, since it is smaller than the sum of its proper divisors (47792160).

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

20859696 is a wasteful number, since it uses less digits than its factorization.

20859696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 20859696 is about 4567.2416183075. The cubic root of 20859696 is about 275.2766186296.

It can be divided in two parts, 2085 and 9696, that added together give a triangular number (11781 = T153).

The spelling of 20859696 in words is "twenty million, eight hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1013 1144 1287 1584 1716 1872 2026 2288 2574 3039 3432 4052 5148 6078 6864 8104 9117 10296 11143 12156 13169 16208 18234 20592 22286 24312 26338 33429 36468 39507 44572 48624 52676 66858 72936 79014 89144 100287 105352 118521 133716 144859 145872 158028 178288 200574 210704 237042 267432 289718 316056 401148 434577 474084 534864 579436 632112 802296 869154 948168 1158872 1303731 1604592 1738308 1896336 2317744 2607462 3476616 5214924 6953232 10429848 20859696