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20445480 = 23335111721
BaseRepresentation
bin100110111111…
…1100100101000
31102110201221000
41031333210220
520213223410
62010115000
7335532546
oct115774450
942421830
1020445480
11105a4aa0
126a1ba60
13430b123
142a02d96
151bdcdc0
hex137f928

20445480 has 128 divisors (see below), whose sum is σ = 74390400. Its totient is φ = 4953600.

The previous prime is 20445443. The next prime is 20445487. The reversal of 20445480 is 8454402.

20445480 is a `hidden beast` number, since 204 + 454 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20445487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11020 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (581175).

Almost surely, 220445480 is an apocalyptic number.

20445480 is a gapful number since it is divisible by the number (20) 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 20445480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37195200).

20445480 is an abundant number, since it is smaller than the sum of its proper divisors (53944920).

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

20445480 is a wasteful number, since it uses less digits than its factorization.

20445480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20445480 is about 4521.6678338861. The cubic root of 20445480 is about 273.4423453073.

Adding to 20445480 its reverse (8454402), we get a palindrome (28899882).

The spelling of 20445480 in words is "twenty million, four hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1721 1980 2376 2970 3442 3960 5163 5940 6884 8605 10326 11880 13768 15489 17210 18931 20652 25815 30978 34420 37862 41304 46467 51630 56793 61956 68840 75724 77445 92934 94655 103260 113586 123912 151448 154890 170379 185868 189310 206520 227172 232335 283965 309780 340758 371736 378620 454344 464670 511137 567930 619560 681516 757240 851895 929340 1022274 1135860 1363032 1703790 1858680 2044548 2271720 2555685 3407580 4089096 5111370 6815160 10222740 20445480