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20595568 = 2471729373
BaseRepresentation
bin100111010010…
…0001101110000
31102202100210211
41032210031300
520233024233
62013233504
7340026250
oct116441560
942670724
1020595568
1110697834
126a92894
134361536
142a41960
151c1c5cd
hex13a4370

20595568 has 80 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 7999488.

The previous prime is 20595559. The next prime is 20595577. The reversal of 20595568 is 86559502.

It is an interprime number because it is at equal distance from previous prime (20595559) and next prime (20595577).

It is a self number, because there is not a number n which added to its sum of digits gives 20595568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55030 + ... + 55402.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 220595568 is an apocalyptic number.

20595568 is a gapful number since it is divisible by the number (28) 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 20595568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

20595568 is an abundant number, since it is smaller than the sum of its proper divisors (29490512).

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

20595568 is a wasteful number, since it uses less digits than its factorization.

20595568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The square root of 20595568 is about 4538.2340177651. The cubic root of 20595568 is about 274.1098179861.

The spelling of 20595568 in words is "twenty million, five hundred ninety-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 373 406 464 476 493 746 812 952 986 1492 1624 1904 1972 2611 2984 3248 3451 3944 5222 5968 6341 6902 7888 10444 10817 12682 13804 20888 21634 25364 27608 41776 43268 44387 50728 55216 75719 86536 88774 101456 151438 173072 177548 183889 302876 355096 367778 605752 710192 735556 1211504 1287223 1471112 2574446 2942224 5148892 10297784 20595568