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20264680 = 2351721753
BaseRepresentation
bin100110101001…
…1011011101000
31102010112220201
41031103123220
520141432210
62002201544
7334150462
oct115233350
942115821
1020264680
1110491177
1269532b4
134276a47
142997132
151ba453a
hex13536e8

20264680 has 48 divisors (see below), whose sum is σ = 48463020. Its totient is φ = 7624704.

The previous prime is 20264609. The next prime is 20264689. The reversal of 20264680 is 8646202.

It can be written as a sum of positive squares in 6 ways, for example, as 8444836 + 11819844 = 2906^2 + 3438^2 .

It is not an unprimeable number, because it can be changed into a prime (20264689) 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 11 ways as a sum of consecutive naturals, for example, 10684 + ... + 12436.

Almost surely, 220264680 is an apocalyptic number.

20264680 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 20264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231510).

20264680 is an abundant number, since it is smaller than the sum of its proper divisors (28198340).

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

20264680 is a wasteful number, since it uses less digits than its factorization.

20264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 20264680 is about 4501.6308156045. The cubic root of 20264680 is about 272.6339380283.

The spelling of 20264680 in words is "twenty million, two hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 1753 2312 2890 3506 5780 7012 8765 11560 14024 17530 29801 35060 59602 70120 119204 149005 238408 298010 506617 596020 1013234 1192040 2026468 2533085 4052936 5066170 10132340 20264680