Search a number
-
+
3903690 = 235729641
BaseRepresentation
bin1110111001000011001010
321100022212010
432321003022
51444404230
6215400350
745116010
oct16710312
97308763
103903690
11222699a
1213830b6
13a68a9b
147388b0
155219b0
hex3b90ca

3903690 has 64 divisors (see below), whose sum is σ = 11093760. Its totient is φ = 860160.

The previous prime is 3903689. The next prime is 3903703. The reversal of 3903690 is 963093.

3903690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39036902 = 30477591232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a plaindrome in base 11.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5770 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (173340).

Almost surely, 23903690 is an apocalyptic number.

3903690 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 3903690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546880).

3903690 is an abundant number, since it is smaller than the sum of its proper divisors (7190070).

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

3903690 is a wasteful number, since it uses less digits than its factorization.

3903690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 3903690 is about 1975.7757969972. The cubic root of 3903690 is about 157.4557194743.

The spelling of 3903690 in words is "three million, nine hundred three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 641 870 1015 1218 1282 1923 2030 3045 3205 3846 4487 6090 6410 8974 9615 13461 18589 19230 22435 26922 37178 44870 55767 67305 92945 111534 130123 134610 185890 260246 278835 390369 557670 650615 780738 1301230 1951845 3903690