Search a number
-
+
11416104 = 2332722651
BaseRepresentation
bin101011100011…
…001000101000
3210110222221200
4223203020220
510410303404
61044404200
7166015050
oct53431050
923428850
1011416104
1164980a7
1239a6660
1324992bb
141732560
151007839
hexae3228

11416104 has 48 divisors (see below), whose sum is σ = 35337120. Its totient is φ = 3261600.

The previous prime is 11416043. The next prime is 11416109. The reversal of 11416104 is 40161411.

11416104 is a `hidden beast` number, since 11 + 41 + 610 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11416109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10822 + ... + 11829.

It is an arithmetic number, because the mean of its divisors is an integer number (736190).

Almost surely, 211416104 is an apocalyptic number.

11416104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11416104 is an abundant number, since it is smaller than the sum of its proper divisors (23921016).

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

11416104 is a wasteful number, since it uses less digits than its factorization.

11416104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22670 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11416104 is about 3378.7725581933. The cubic root of 11416104 is about 225.1676380319.

Adding to 11416104 its reverse (40161411), we get a palindrome (51577515).

The spelling of 11416104 in words is "eleven million, four hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22651 45302 67953 90604 135906 158557 181208 203859 271812 317114 407718 475671 543624 634228 815436 951342 1268456 1427013 1630872 1902684 2854026 3805368 5708052 11416104