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20359008 = 2532223317
BaseRepresentation
bin100110110101…
…0011101100000
31102022100022100
41031222131200
520202442013
62004210400
7335022465
oct115523540
942270270
1020359008
111054602a
126999a00
1342aa967
1429bd66c
151bc2473
hex136a760

20359008 has 72 divisors (see below), whose sum is σ = 58339008. Its totient is φ = 6734592.

The previous prime is 20358983. The next prime is 20359019. The reversal of 20359008 is 80095302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64066 + ... + 64382.

It is an arithmetic number, because the mean of its divisors is an integer number (810264).

Almost surely, 220359008 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 20359008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169504).

20359008 is an abundant number, since it is smaller than the sum of its proper divisors (37980000).

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

20359008 is a wasteful number, since it uses less digits than its factorization.

20359008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20359008 is about 4512.0957436650. The cubic root of 20359008 is about 273.0563020375.

The spelling of 20359008 in words is "twenty million, three hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 317 446 634 669 892 951 1268 1338 1784 1902 2007 2536 2676 2853 3568 3804 4014 5072 5352 5706 7136 7608 8028 10144 10704 11412 15216 16056 21408 22824 30432 32112 45648 64224 70691 91296 141382 212073 282764 424146 565528 636219 848292 1131056 1272438 1696584 2262112 2544876 3393168 5089752 6786336 10179504 20359008