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20359872 = 2632132719
BaseRepresentation
bin100110110101…
…0101011000000
31102022101111100
41031222223000
520203003442
62004214400
7335025141
oct115525300
942271440
1020359872
1110546745
12699a400
1342ab180
1429bdac8
151bc284c
hex136aac0

20359872 has 84 divisors (see below), whose sum is σ = 62870080. Its totient is φ = 6262272.

The previous prime is 20359861. The next prime is 20359873. The reversal of 20359872 is 27895302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20359873) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6129 + ... + 8847.

Almost surely, 220359872 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 20359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435040).

20359872 is an abundant number, since it is smaller than the sum of its proper divisors (42510208).

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

20359872 is a wasteful number, since it uses less digits than its factorization.

20359872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20359872 is about 4512.1914852985. The cubic root of 20359872 is about 273.0601646571.

The spelling of 20359872 in words is "twenty million, three hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 2719 3744 5438 7488 8157 10876 16314 21752 24471 32628 35347 43504 48942 65256 70694 87008 97884 106041 130512 141388 174016 195768 212082 261024 282776 318123 391536 424164 522048 565552 636246 783072 848328 1131104 1272492 1566144 1696656 2262208 2544984 3393312 5089968 6786624 10179936 20359872