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20943456 = 2531741313
BaseRepresentation
bin100111111100…
…1001001100000
31110102001000120
41033321021200
520330142311
62024520240
7343005432
oct117711140
943361016
1020943456
1110905146
127020080
1344539a1
142ad2652
151c8a706
hex13f9260

20943456 has 96 divisors (see below), whose sum is σ = 59820768. Its totient is φ = 6389760.

The previous prime is 20943449. The next prime is 20943457. The reversal of 20943456 is 65434902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20943457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66756 + ... + 67068.

It is an arithmetic number, because the mean of its divisors is an integer number (623133).

Almost surely, 220943456 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 20943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29910384).

20943456 is an abundant number, since it is smaller than the sum of its proper divisors (38877312).

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

20943456 is a wasteful number, since it uses less digits than its factorization.

20943456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 20943456 is about 4576.4020802373. The cubic root of 20943456 is about 275.6445750465.

The spelling of 20943456 in words is "twenty million, nine hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 313 328 408 492 544 626 656 697 816 939 984 1252 1312 1394 1632 1878 1968 2091 2504 2788 3756 3936 4182 5008 5321 5576 7512 8364 10016 10642 11152 12833 15024 15963 16728 21284 22304 25666 30048 31926 33456 38499 42568 51332 63852 66912 76998 85136 102664 127704 153996 170272 205328 218161 255408 307992 410656 436322 510816 615984 654483 872644 1231968 1308966 1745288 2617932 3490576 5235864 6981152 10471728 20943456