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20249568 = 2533231019
BaseRepresentation
bin100110100111…
…1101111100000
31102002210012000
41031033233200
520140441233
62002004000
7334055433
oct115175740
942083160
1020249568
1110480889
126946600
13426cbc1
14299181a
151b9ed13
hex134fbe0

20249568 has 96 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6450048.

The previous prime is 20249563. The next prime is 20249599. The reversal of 20249568 is 86594202.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249561) 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, 19363 + ... + 20381.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 220249568 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 20249568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20249568 is an abundant number, since it is smaller than the sum of its proper divisors (41440032).

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

20249568 is a wasteful number, since it uses less digits than its factorization.

20249568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20249568 is about 4499.9519997440. The cubic root of 20249568 is about 272.5661506491.

It can be divided in two parts, 202 and 49568, that added together give a triangular number (49770 = T315).

The spelling of 20249568 in words is "twenty million, two hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1019 1104 1242 1656 2038 2208 2484 3057 3312 4076 4968 6114 6624 8152 9171 9936 12228 16304 18342 19872 23437 24456 27513 32608 36684 46874 48912 55026 70311 73368 93748 97824 110052 140622 146736 187496 210933 220104 281244 293472 374992 421866 440208 562488 632799 749984 843732 880416 1124976 1265598 1687464 2249952 2531196 3374928 5062392 6749856 10124784 20249568