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20441568 = 2537191601
BaseRepresentation
bin100110111111…
…0100111100000
31102110112120010
41031332213200
520213112233
62010044520
7335515260
oct115764740
942415503
1020441568
11105a2064
126a19740
134309404
142a017a0
151bdbb63
hex137e9e0

20441568 has 96 divisors (see below), whose sum is σ = 64592640. Its totient is φ = 5529600.

The previous prime is 20441563. The next prime is 20441573. The reversal of 20441568 is 86514402.

It is an interprime number because it is at equal distance from previous prime (20441563) and next prime (20441573).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441563) 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, 11968 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (672840).

Almost surely, 220441568 is an apocalyptic number.

20441568 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 20441568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296320).

20441568 is an abundant number, since it is smaller than the sum of its proper divisors (44151072).

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

20441568 is a wasteful number, since it uses less digits than its factorization.

20441568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20441568 is about 4521.2352294478. The cubic root of 20441568 is about 273.4249042122.

The spelling of 20441568 in words is "twenty million, four hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1601 1824 2128 3192 3202 4256 4803 6384 6404 9606 11207 12768 12808 19212 22414 25616 30419 33621 38424 44828 51232 60838 67242 76848 89656 91257 121676 134484 153696 179312 182514 212933 243352 268968 358624 365028 425866 486704 537936 638799 730056 851732 973408 1075872 1277598 1460112 1703464 2555196 2920224 3406928 5110392 6813856 10220784 20441568