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1813104 = 24341399
BaseRepresentation
bin110111010101001110000
310102010010000
412322221300
5431004404
6102510000
721261006
oct6725160
93363100
101813104
111029237
12735300
134b6357
14352a76
1525c339
hex1baa70

1813104 has 50 divisors (see below), whose sum is σ = 5251400. Its totient is φ = 603936.

The previous prime is 1813081. The next prime is 1813121. The reversal of 1813104 is 4013181.

It is a super-2 number, since 2×18131042 = 6574692229632, which contains 22 as substring.

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

It is an Ulam number.

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 9 ways as a sum of consecutive naturals, for example, 597 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (105028).

21813104 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 1813104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625700).

1813104 is an abundant number, since it is smaller than the sum of its proper divisors (3438296).

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

1813104 is a wasteful number, since it uses less digits than its factorization.

1813104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1404 counting only the distinct ones).

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

The square root of 1813104 is about 1346.5155030671. The cubic root of 1813104 is about 121.9385160049.

Adding to 1813104 its reverse (4013181), we get a palindrome (5826285).

The spelling of 1813104 in words is "one million, eight hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1399 2798 4197 5596 8394 11192 12591 16788 22384 25182 33576 37773 50364 67152 75546 100728 113319 151092 201456 226638 302184 453276 604368 906552 1813104