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264135460 = 22517776869
BaseRepresentation
bin11111011111001…
…10001100100100
3200102000110201211
433233212030210
51020104313320
642113201204
76355054141
oct1757461444
9612013654
10264135460
11126108976
1274560204
1342951694
14271193c8
15182c755a
hexfbe6324

264135460 has 24 divisors (see below), whose sum is σ = 587313720. Its totient is φ = 99439104.

The previous prime is 264135439. The next prime is 264135463. The reversal of 264135460 is 64531462.

It can be written as a sum of positive squares in 4 ways, for example, as 24443136 + 239692324 = 4944^2 + 15482^2 .

It is not an unprimeable number, because it can be changed into a prime (264135463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388095 + ... + 388774.

It is an arithmetic number, because the mean of its divisors is an integer number (24471405).

Almost surely, 2264135460 is an apocalyptic number.

264135460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264135460 is an abundant number, since it is smaller than the sum of its proper divisors (323178260).

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

264135460 is a wasteful number, since it uses less digits than its factorization.

264135460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776895 (or 776893 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 264135460 is about 16252.2447680313. The cubic root of 264135460 is about 641.6165675921.

The spelling of 264135460 in words is "two hundred sixty-four million, one hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 776869 1553738 3107476 3884345 7768690 13206773 15537380 26413546 52827092 66033865 132067730 264135460