Search a number
-
+
4073790 = 2357191021
BaseRepresentation
bin1111100010100100111110
321122222012010
433202210332
52020330130
6223152050
746424640
oct17424476
97588163
104073790
112332776
121445626
13ac8336
14780890
155570b0
hex3e293e

4073790 has 64 divisors (see below), whose sum is σ = 11773440. Its totient is φ = 881280.

The previous prime is 4073749. The next prime is 4073791. The reversal of 4073790 is 973704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3480 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 24073790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4073790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886720).

4073790 is an abundant number, since it is smaller than the sum of its proper divisors (7699650).

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

4073790 is a wasteful number, since it uses less digits than its factorization.

4073790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 4073790 is about 2018.3631982376. The cubic root of 4073790 is about 159.7102830087.

The spelling of 4073790 in words is "four million, seventy-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1021 1330 1995 2042 3063 3990 5105 6126 7147 10210 14294 15315 19399 21441 30630 35735 38798 42882 58197 71470 96995 107205 116394 135793 193990 214410 271586 290985 407379 581970 678965 814758 1357930 2036895 4073790