Search a number
-
+
7663080 = 2335193361
BaseRepresentation
bin11101001110110111101000
3112102022202210
4131032313220
53430204310
6432125120
7122064225
oct35166750
915368683
107663080
114364427
1226967a0
131783c89
14103694c
15a15820
hex74ede8

7663080 has 64 divisors (see below), whose sum is σ = 24206400. Its totient is φ = 1935360.

The previous prime is 7663069. The next prime is 7663081. The reversal of 7663080 is 803667.

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 (7663081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600 + ... + 3960.

It is an arithmetic number, because the mean of its divisors is an integer number (378225).

Almost surely, 27663080 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 7663080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103200).

7663080 is an abundant number, since it is smaller than the sum of its proper divisors (16543320).

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

7663080 is a wasteful number, since it uses less digits than its factorization.

7663080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7663080 is about 2768.2268693154. The cubic root of 7663080 is about 197.1519694531.

The spelling of 7663080 in words is "seven million, six hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 3361 6722 10083 13444 16805 20166 26888 33610 40332 50415 63859 67220 80664 100830 127718 134440 191577 201660 255436 319295 383154 403320 510872 638590 766308 957885 1277180 1532616 1915770 2554360 3831540 7663080