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11213104 = 247531889
BaseRepresentation
bin101010110001…
…100100110000
3210002200111011
4222301210300
510332304404
61040200304
7164211160
oct52614460
923080434
1011213104
116369631
123909094
132427a96
1416bc5a0
15eb7604
hexab1930

11213104 has 40 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 4712448.

The previous prime is 11213093. The next prime is 11213113. The reversal of 11213104 is 40131211.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4992 + ... + 6880.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 211213104 is an apocalyptic number.

11213104 is a gapful number since it is divisible by the number (14) 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 11213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

11213104 is an abundant number, since it is smaller than the sum of its proper divisors (14097776).

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

11213104 is a wasteful number, since it uses less digits than its factorization.

11213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11213104 is about 3348.5973182812. The cubic root of 11213104 is about 223.8250121453.

Adding to 11213104 its reverse (40131211), we get a palindrome (51344315).

It can be divided in two parts, 1121 and 3104, that added together give a square (4225 = 652).

The spelling of 11213104 in words is "eleven million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1889 2968 3778 5936 7556 13223 15112 26446 30224 52892 100117 105784 200234 211568 400468 700819 800936 1401638 1601872 2803276 5606552 11213104