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1812768 = 25323821
BaseRepresentation
bin110111010100100100000
310102002122120
412322210200
5431002033
6102504240
721260016
oct6724440
93362576
101812768
111028a61
12735080
134b6159
143528b6
1525c1b3
hex1ba920

1812768 has 48 divisors (see below), whose sum is σ = 4971456. Its totient is φ = 577280.

The previous prime is 1812763. The next prime is 1812773. The reversal of 1812768 is 8672181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1812763) and next prime (1812773).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18127682 = 6572255643648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1812763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (103572).

21812768 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 1812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485728).

1812768 is an abundant number, since it is smaller than the sum of its proper divisors (3158688).

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

1812768 is a wasteful number, since it uses less digits than its factorization.

1812768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 1812768 is about 1346.3907308059. The cubic root of 1812768 is about 121.9309830903.

The spelling of 1812768 in words is "one million, eight hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 821 1104 1642 2208 2463 3284 4926 6568 9852 13136 18883 19704 26272 37766 39408 56649 75532 78816 113298 151064 226596 302128 453192 604256 906384 1812768