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20884260 = 22351073253
BaseRepresentation
bin100111110101…
…0101100100100
31110022000211010
41033222230210
520321244020
62023342220
7342341025
oct117525444
943260733
1020884260
1110874721
126bb1970
134432a67
142ab8c4c
151c77de0
hex13eab24

20884260 has 48 divisors (see below), whose sum is σ = 59040576. Its totient is φ = 5515392.

The previous prime is 20884247. The next prime is 20884267. The reversal of 20884260 is 6248802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20884267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4794 + ... + 8046.

It is an arithmetic number, because the mean of its divisors is an integer number (1230012).

Almost surely, 220884260 is an apocalyptic number.

20884260 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 20884260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29520288).

20884260 is an abundant number, since it is smaller than the sum of its proper divisors (38156316).

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

20884260 is a wasteful number, since it uses less digits than its factorization.

20884260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20884260 is about 4569.9299775817. The cubic root of 20884260 is about 275.3846298292.

The spelling of 20884260 in words is "twenty million, eight hundred eighty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 3253 6420 6506 9759 13012 16265 19518 32530 39036 48795 65060 97590 195180 348071 696142 1044213 1392284 1740355 2088426 3480710 4176852 5221065 6961420 10442130 20884260