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11306269 = 132149449
BaseRepresentation
bin101011001000…
…010100011101
3210021102021201
4223020110131
510343300034
61042155501
7165046612
oct53102435
923242251
1011306269
116422627
123952b91
13245b300
141704509
15ed5014
hexac851d

11306269 has 12 divisors (see below), whose sum is σ = 12352500. Its totient is φ = 10343424.

The previous prime is 11306263. The next prime is 11306279. The reversal of 11306269 is 96260311.

11306269 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3115225 + 8191044 = 1765^2 + 2862^2 .

It is not a de Polignac number, because 11306269 - 221 = 9209117 is a prime.

It is a super-2 number, since 2×113062692 = 255663437400722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24957 + ... + 25405.

It is an arithmetic number, because the mean of its divisors is an integer number (1029375).

Almost surely, 211306269 is an apocalyptic number.

It is an amenable number.

11306269 is a deficient number, since it is larger than the sum of its proper divisors (1046231).

11306269 is a wasteful number, since it uses less digits than its factorization.

11306269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 11306269 is about 3362.4795910161. The cubic root of 11306269 is about 224.4431927537.

The spelling of 11306269 in words is "eleven million, three hundred six thousand, two hundred sixty-nine".

Divisors: 1 13 149 169 449 1937 5837 25181 66901 75881 869713 11306269