Search a number
-
+
3680892 = 2232591733
BaseRepresentation
bin1110000010101001111100
320221000020100
432002221330
51420242032
6210521100
743200315
oct16025174
96830210
103680892
112094566
121296190
139bb557
146bb60c
154ca97c
hex382a7c

3680892 has 36 divisors (see below), whose sum is σ = 9467640. Its totient is φ = 1205472.

The previous prime is 3680881. The next prime is 3680893. The reversal of 3680892 is 2980863.

3680892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680893) 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 11 ways as a sum of consecutive naturals, for example, 1258 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (262990).

Almost surely, 23680892 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 3680892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733820).

3680892 is an abundant number, since it is smaller than the sum of its proper divisors (5786748).

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

3680892 is a wasteful number, since it uses less digits than its factorization.

3680892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3680892 is about 1918.5650888099. The cubic root of 3680892 is about 154.4013257513.

The spelling of 3680892 in words is "three million, six hundred eighty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1733 2124 3466 5199 6932 10398 15597 20796 31194 62388 102247 204494 306741 408988 613482 920223 1226964 1840446 3680892