Search a number
-
+
3729990 = 2351189127
BaseRepresentation
bin1110001110101001000110
321000111120210
432032221012
51423324430
6211540250
743463415
oct16165106
97014523
103729990
112118440
1212ba686
13a079c4
146d147c
154da2b0
hex38ea46

3729990 has 64 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 887040.

The previous prime is 3729989. The next prime is 3729991. The reversal of 3729990 is 999273.

3729990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3729989) and next prime (3729991).

It is a Smith number, since the sum of its digits (39) 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 (3729991) 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 31 ways as a sum of consecutive naturals, for example, 29307 + ... + 29433.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 23729990 is an apocalyptic number.

3729990 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 3729990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976640).

3729990 is an abundant number, since it is smaller than the sum of its proper divisors (6223290).

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

3729990 is a wasteful number, since it uses less digits than its factorization.

3729990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 3729990 is about 1931.3182026792. The cubic root of 3729990 is about 155.0847957806.

The spelling of 3729990 in words is "three million, seven hundred twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 127 165 178 254 267 330 381 445 534 635 762 890 979 1270 1335 1397 1905 1958 2670 2794 2937 3810 4191 4895 5874 6985 8382 9790 11303 13970 14685 20955 22606 29370 33909 41910 56515 67818 113030 124333 169545 248666 339090 372999 621665 745998 1243330 1864995 3729990