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20713896 = 2332773563
BaseRepresentation
bin100111100000…
…1000110101000
31102222101010100
41033001012220
520300321041
62015545400
7341031240
oct117010650
942871110
1020713896
1110768725
126b2b260
1343a3358
142a72b20
151c426b6
hex13c11a8

20713896 has 96 divisors (see below), whose sum is σ = 65108160. Its totient is φ = 5826816.

The previous prime is 20713873. The next prime is 20713907. The reversal of 20713896 is 69831702.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20713896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36511 + ... + 37073.

It is an arithmetic number, because the mean of its divisors is an integer number (678210).

Almost surely, 220713896 is an apocalyptic number.

20713896 is the 2628-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20713896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32554080).

20713896 is an abundant number, since it is smaller than the sum of its proper divisors (44394264).

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

20713896 is a wasteful number, since it uses less digits than its factorization.

20713896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20713896 is about 4551.2521354019. The cubic root of 20713896 is about 274.6337648192.

It can be divided in two parts, 20713 and 896, that added together give a square (21609 = 1472).

The spelling of 20713896 in words is "twenty million, seven hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 563 584 657 876 1022 1126 1314 1533 1689 1752 2044 2252 2628 3066 3378 3941 4088 4504 4599 5067 5256 6132 6756 7882 9198 10134 11823 12264 13512 15764 18396 20268 23646 31528 35469 36792 40536 41099 47292 70938 82198 94584 123297 141876 164396 246594 283752 287693 328792 369891 493188 575386 739782 863079 986376 1150772 1479564 1726158 2301544 2589237 2959128 3452316 5178474 6904632 10356948 20713896