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11298132 = 22321718461
BaseRepresentation
bin101011000110…
…010101010100
3210021000010100
4223012111110
510343020012
61042054100
7165014106
oct53062524
923230110
1011298132
1164174aa
12394a330
1324576b1
141701576
15ed28dc
hexac6554

11298132 has 36 divisors (see below), whose sum is σ = 30240756. Its totient is φ = 3544320.

The previous prime is 11298127. The next prime is 11298181. The reversal of 11298132 is 23189211.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 7160976 = 2034^2 + 2676^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11298096 and 11298105.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8619 + ... + 9842.

It is an arithmetic number, because the mean of its divisors is an integer number (840021).

Almost surely, 211298132 is an apocalyptic number.

11298132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11298132 is an abundant number, since it is smaller than the sum of its proper divisors (18942624).

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

11298132 is a wasteful number, since it uses less digits than its factorization.

11298132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 18483 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11298132 is about 3361.2694030678. The cubic root of 11298132 is about 224.3893367158.

It can be divided in two parts, 1129 and 8132, that added together give a cube (9261 = 213).

The spelling of 11298132 in words is "eleven million, two hundred ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18461 36922 55383 73844 110766 166149 221532 313837 332298 627674 664596 941511 1255348 1883022 2824533 3766044 5649066 11298132