Search a number
-
+
7630240 = 255103463
BaseRepresentation
bin11101000110110110100000
3112100122201111
4131012312200
53423131430
6431313104
7121566412
oct35066640
915318644
107630240
114341792
12267b794
131772047
1410289b2
15a0ac2a
hex746da0

7630240 has 48 divisors (see below), whose sum is σ = 18240768. Its totient is φ = 3015936.

The previous prime is 7630213. The next prime is 7630241. The reversal of 7630240 is 420367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630241) 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 7 ways as a sum of consecutive naturals, for example, 16249 + ... + 16711.

It is an arithmetic number, because the mean of its divisors is an integer number (380016).

Almost surely, 27630240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120384).

7630240 is an abundant number, since it is smaller than the sum of its proper divisors (10610528).

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

7630240 is a wasteful number, since it uses less digits than its factorization.

7630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 7630240 is about 2762.2889059619. The cubic root of 7630240 is about 196.8699357058.

The spelling of 7630240 in words is "seven million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 463 515 824 926 1030 1648 1852 2060 2315 3296 3704 4120 4630 7408 8240 9260 14816 16480 18520 37040 47689 74080 95378 190756 238445 381512 476890 763024 953780 1526048 1907560 3815120 7630240