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264020 = 22543307
BaseRepresentation
bin1000000011101010100
3111102011112
41000131110
531422040
65354152
72146511
oct1003524
9442145
10264020
111703a9
12108958
1393233
146c308
1553365
hex40754

264020 has 24 divisors (see below), whose sum is σ = 569184. Its totient is φ = 102816.

The previous prime is 264013. The next prime is 264029. The reversal of 264020 is 20462.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 263986 and 264004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (23716).

2264020 is an apocalyptic number.

264020 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 264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284592).

264020 is an abundant number, since it is smaller than the sum of its proper divisors (305164).

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

264020 is a wasteful number, since it uses less digits than its factorization.

264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 264020 is about 513.8287652516. The cubic root of 264020 is about 64.1523065258.

Adding to 264020 its reverse (20462), we get a palindrome (284482).

The spelling of 264020 in words is "two hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 307 430 614 860 1228 1535 3070 6140 13201 26402 52804 66005 132010 264020