Search a number
-
+
7040790 = 233589293
BaseRepresentation
bin11010110110111100010110
3111020201011000
4122312330112
53300301130
6410524130
7113563041
oct32667426
914221130
107040790
113a79939
122436646
1315c6963
14d13c58
15941260
hex6b6f16

7040790 has 64 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 1850112.

The previous prime is 7040749. The next prime is 7040791. The reversal of 7040790 is 970407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7040791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23884 + ... + 24176.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 27040790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7040790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

7040790 is an abundant number, since it is smaller than the sum of its proper divisors (12010410).

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

7040790 is a wasteful number, since it uses less digits than its factorization.

7040790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7040790 is about 2653.4486993345. The cubic root of 7040790 is about 191.6639629948.

The spelling of 7040790 in words is "seven million, forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 293 445 534 586 801 879 890 1335 1465 1602 1758 2403 2637 2670 2930 4005 4395 4806 5274 7911 8010 8790 12015 13185 15822 24030 26077 26370 39555 52154 78231 79110 130385 156462 234693 260770 391155 469386 704079 782310 1173465 1408158 2346930 3520395 7040790