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264600020 = 22513230001
BaseRepresentation
bin11111100010101…
…11100111010100
3200102220001222202
433301113213110
51020214200040
642131144032
76362030426
oct1761274724
9612801882
10264600020
111263a5a03
1274745018
1342a84c79
14271da816
151836a015
hexfc579d4

264600020 has 12 divisors (see below), whose sum is σ = 555660084. Its totient is φ = 105840000.

The previous prime is 264600001. The next prime is 264600029. The reversal of 264600020 is 20006462.

It can be written as a sum of positive squares in 2 ways, for example, as 168324676 + 96275344 = 12974^2 + 9812^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 13230001 = 264600020 / (2 + 6 + 4 + 6 + 0 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 264599965 and 264600001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264600029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6614981 + ... + 6615020.

It is an arithmetic number, because the mean of its divisors is an integer number (46305007).

Almost surely, 2264600020 is an apocalyptic number.

264600020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264600020 is an abundant number, since it is smaller than the sum of its proper divisors (291060064).

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

264600020 is a wasteful number, since it uses less digits than its factorization.

264600020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13230010 (or 13230008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 264600020 is about 16266.5306688304. The cubic root of 264600020 is about 641.9925045142.

Adding to 264600020 its reverse (20006462), we get a palindrome (284606482).

The spelling of 264600020 in words is "two hundred sixty-four million, six hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 13230001 26460002 52920004 66150005 132300010 264600020