Search a number
-
+
3680790 = 235122693
BaseRepresentation
bin1110000010101000010110
320221000002120
432002220112
51420241130
6210520410
743200111
oct16025026
96830076
103680790
112094483
121296106
139bb4a9
146bb578
154ca910
hex382a16

3680790 has 16 divisors (see below), whose sum is σ = 8833968. Its totient is φ = 981536.

The previous prime is 3680753. The next prime is 3680791. The reversal of 3680790 is 970863.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680791) 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, 61317 + ... + 61376.

It is an arithmetic number, because the mean of its divisors is an integer number (552123).

Almost surely, 23680790 is an apocalyptic number.

3680790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3680790 is an abundant number, since it is smaller than the sum of its proper divisors (5153178).

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

3680790 is a wasteful number, since it uses less digits than its factorization.

3680790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122703.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3680790 is about 1918.5385062594. The cubic root of 3680790 is about 154.3998995498.

The spelling of 3680790 in words is "three million, six hundred eighty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 122693 245386 368079 613465 736158 1226930 1840395 3680790