Search a number
-
+
7206480 = 2432510009
BaseRepresentation
bin11011011111011001010000
3111120010102200
4123133121100
53321101410
6414243200
7115153101
oct33373120
914503380
107206480
114082376
1224b6500
1316541b8
14d583a8
159753c0
hex6df650

7206480 has 60 divisors (see below), whose sum is σ = 24204180. Its totient is φ = 1921536.

The previous prime is 7206473. The next prime is 7206509. The reversal of 7206480 is 846027.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 1617984 = 2364^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (60).

7206480 is a modest number, since divided by 6480 gives 720 as remainder.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4285 + ... + 5724.

It is an arithmetic number, because the mean of its divisors is an integer number (403403).

Almost surely, 27206480 is an apocalyptic number.

It is an amenable number.

7206480 is an abundant number, since it is smaller than the sum of its proper divisors (16997700).

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

7206480 is a wasteful number, since it uses less digits than its factorization.

7206480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7206480 is about 2684.4887781475. The cubic root of 7206480 is about 193.1557889141.

It can be divided in two parts, 720 and 6480, that multiplied together give a square (4665600 = 21602).

The spelling of 7206480 in words is "seven million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 10009 20018 30027 40036 50045 60054 80072 90081 100090 120108 150135 160144 180162 200180 240216 300270 360324 400360 450405 480432 600540 720648 800720 900810 1201080 1441296 1801620 2402160 3603240 7206480