Search a number
-
+
264133280 = 2559291777
BaseRepresentation
bin11111011111001…
…01101010100000
3200102000100202002
433233211222200
51020104231110
642113143132
76355044605
oct1757455240
9612010662
10264133280
11126107274
127455aaa8
13429506a8
14271186ac
15182c6aa5
hexfbe5aa0

264133280 has 48 divisors (see below), whose sum is σ = 625038120. Its totient is φ = 105480192.

The previous prime is 264133273. The next prime is 264133313. The reversal of 264133280 is 82331462.

It can be written as a sum of positive squares in 4 ways, for example, as 132618256 + 131515024 = 11516^2 + 11468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147752 + ... + 149528.

Almost surely, 2264133280 is an apocalyptic number.

264133280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264133280 is an abundant number, since it is smaller than the sum of its proper divisors (360904840).

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

264133280 is a wasteful number, since it uses less digits than its factorization.

264133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 264133280 is about 16252.1777002345. The cubic root of 264133280 is about 641.6148024271.

The spelling of 264133280 in words is "two hundred sixty-four million, one hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 929 1777 1858 3554 3716 4645 7108 7432 8885 9290 14216 14864 17770 18580 28432 29728 35540 37160 56864 71080 74320 142160 148640 284320 1650833 3301666 6603332 8254165 13206664 16508330 26413328 33016660 52826656 66033320 132066640 264133280