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3768990 = 235731721
BaseRepresentation
bin1110011000001010011110
321002111002020
432120022132
51431101430
6212441010
744015211
oct16301236
97074066
103768990
112144775
121319166
13a1c694
14701778
154e6b10
hex39829e

3768990 has 32 divisors (see below), whose sum is σ = 9174816. Its totient is φ = 990720.

The previous prime is 3768983. The next prime is 3768991. The reversal of 3768990 is 998673.

It is a happy number.

3768990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1330 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (286713).

Almost surely, 23768990 is an apocalyptic number.

3768990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587408).

3768990 is an abundant number, since it is smaller than the sum of its proper divisors (5405826).

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

3768990 is a wasteful number, since it uses less digits than its factorization.

3768990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3768990 is about 1941.3886782404. The cubic root of 3768990 is about 155.6234342837.

The spelling of 3768990 in words is "three million, seven hundred sixty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1721 2190 3442 5163 8605 10326 17210 25815 51630 125633 251266 376899 628165 753798 1256330 1884495 3768990