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1133264896 = 2142632
BaseRepresentation
bin100001110001100…
…0100000000000000
32220222102211011221
41003203010000000
54310103434041
6304241444424
740040410201
oct10343040000
92828384157
101133264896
11531775765
12277640714
13150a29a5a
14aa71b5a8
15697572d1
hex438c4000

1133264896 has 45 divisors (see below), whose sum is σ = 2275111111. Its totient is φ = 564477952.

The previous prime is 1133264879. The next prime is 1133264903. The reversal of 1133264896 is 6984623311.

The square root of 1133264896 is 33664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 4308861 + ... + 4309123.

Almost surely, 21133264896 is an apocalyptic number.

1133264896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1133264896 is the 33664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133264896

1133264896 is an abundant number, since it is smaller than the sum of its proper divisors (1141846215).

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

1133264896 is an frugal number, since it uses more digits than its factorization.

1133264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 265 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 1133264896 is about 1042.5826148569.

Multiplying 1133264896 by its product of digits (186624), we get a square (211494427951104 = 145428482).

The spelling of 1133264896 in words is "one billion, one hundred thirty-three million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 263 512 526 1024 1052 2048 2104 4096 4208 8192 8416 16384 16832 33664 67328 69169 134656 138338 269312 276676 538624 553352 1077248 1106704 2154496 2213408 4308992 4426816 8853632 17707264 35414528 70829056 141658112 283316224 566632448 1133264896