Search a number
-
+
12331890 = 2325731877
BaseRepresentation
bin101111000010…
…101101110010
3212012112011200
4233002231302
511124110030
61120152030
7206551014
oct57025562
925175150
1012331890
116a6314a
124168616
13272a09c
1418d01b4
151138d60
hexbc2b72

12331890 has 48 divisors (see below), whose sum is σ = 32519448. Its totient is φ = 3241728.

The previous prime is 12331889. The next prime is 12331897. The reversal of 12331890 is 9813321.

It can be written as a sum of positive squares in 4 ways, for example, as 10751841 + 1580049 = 3279^2 + 1257^2 .

It is not an unprimeable number, because it can be changed into a prime (12331897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5632 + ... + 7508.

Almost surely, 212331890 is an apocalyptic number.

12331890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259724).

12331890 is an abundant number, since it is smaller than the sum of its proper divisors (20187558).

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

12331890 is a wasteful number, since it uses less digits than its factorization.

12331890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12331890 is about 3511.6790855658. The cubic root of 12331890 is about 231.0343458236.

Subtracting from 12331890 its reverse (9813321), we obtain a square (2518569 = 15872).

The spelling of 12331890 in words is "twelve million, three hundred thirty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 1877 2190 3285 3754 5631 6570 9385 11262 16893 18770 28155 33786 56310 84465 137021 168930 274042 411063 685105 822126 1233189 1370210 2055315 2466378 4110630 6165945 12331890