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11406804 = 22323371117
BaseRepresentation
bin101011100000…
…110111010100
3210110112012020
4223200313110
510410004204
61044253140
7165645663
oct53406724
923415166
1011406804
116491112
1239a11b0
132494cb6
14172cdda
151004bd9
hexae0dd4

11406804 has 48 divisors (see below), whose sum is σ = 28549248. Its totient is φ = 3535488.

The previous prime is 11406799. The next prime is 11406809. The reversal of 11406804 is 40860411.

11406804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11406799) and next prime (11406809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9654 + ... + 10770.

It is an arithmetic number, because the mean of its divisors is an integer number (594776).

Almost surely, 211406804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274624).

11406804 is an abundant number, since it is smaller than the sum of its proper divisors (17142444).

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

11406804 is a wasteful number, since it uses less digits than its factorization.

11406804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11406804 is about 3377.3960383704. The cubic root of 11406804 is about 225.1064779979.

The spelling of 11406804 in words is "eleven million, four hundred six thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1117 1702 2234 2553 3351 3404 4468 5106 6702 10212 13404 25691 41329 51382 77073 82658 102764 123987 154146 165316 247974 308292 495948 950567 1901134 2851701 3802268 5703402 11406804