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11309296 = 24311512
BaseRepresentation
bin101011001001…
…000011110000
3210021120102211
4223021003300
510343344141
61042221504
7165061465
oct53110360
923246384
1011309296
116424929
123954894
13245c7bb
14170566c
15ed5d81
hexac90f0

11309296 has 30 divisors (see below), whose sum is σ = 22769376. Its totient is φ = 5436000.

The previous prime is 11309293. The next prime is 11309303. The reversal of 11309296 is 69290311.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11309293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74821 + ... + 74971.

Almost surely, 211309296 is an apocalyptic number.

11309296 is a gapful number since it is divisible by the number (16) 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 11309296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384688).

11309296 is an abundant number, since it is smaller than the sum of its proper divisors (11460080).

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

11309296 is an equidigital number, since it uses as much as digits as its factorization.

11309296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 11309296 is about 3362.9296751493. The cubic root of 11309296 is about 224.4632208438.

Multiplying 11309296 by its sum of digits (31), we get a square (350588176 = 187242).

11309296 divided by its sum of digits (31) gives a square (364816 = 6042).

The spelling of 11309296 in words is "eleven million, three hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 151 248 302 496 604 1208 2416 4681 9362 18724 22801 37448 45602 74896 91204 182408 364816 706831 1413662 2827324 5654648 11309296