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11323296 = 253239317
BaseRepresentation
bin101011001100…
…011110100000
3210022021122100
4223030132200
510344321141
61042410400
7165150345
oct53143640
923267570
1011323296
1164343a6
123960a00
132465c9a
14170a7cc
15eda0b6
hexacc7a0

11323296 has 36 divisors (see below), whose sum is σ = 32201442. Its totient is φ = 3774336.

The previous prime is 11323289. The next prime is 11323303. The reversal of 11323296 is 69232311.

It is an interprime number because it is at equal distance from previous prime (11323289) and next prime (11323303).

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 3370896 = 2820^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19371 + ... + 19946.

Almost surely, 211323296 is an apocalyptic number.

11323296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11323296 is an abundant number, since it is smaller than the sum of its proper divisors (20878146).

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

11323296 is a wasteful number, since it uses less digits than its factorization.

11323296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39333 (or 39322 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 11323296 is about 3365.0105497606. The cubic root of 11323296 is about 224.5558051293. Note that the first 3 decimals are identical.

It can be divided in two parts, 113 and 23296, that added together give a square (23409 = 1532).

The spelling of 11323296 in words is "eleven million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39317 78634 117951 157268 235902 314536 353853 471804 629072 707706 943608 1258144 1415412 1887216 2830824 3774432 5661648 11323296