Search a number
-
+
7216880 = 2451159139
BaseRepresentation
bin11011100001111011110000
3111120122200212
4123201323300
53321420010
6414403252
7115225316
oct33417360
914518625
107216880
11408a170
122500528
131658b58
14d5c0b6
15978505
hex6e1ef0

7216880 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 2561280.

The previous prime is 7216879. The next prime is 7216889. The reversal of 7216880 is 886127.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7216889) 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 15 ways as a sum of consecutive naturals, for example, 51851 + ... + 51989.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 27216880 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 7216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

7216880 is an abundant number, since it is smaller than the sum of its proper divisors (11531920).

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

7216880 is a wasteful number, since it uses less digits than its factorization.

7216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 7216880 is about 2686.4251338908. The cubic root of 7216880 is about 193.2486615620.

The spelling of 7216880 in words is "seven million, two hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 139 176 220 236 278 295 440 472 556 590 649 695 880 944 1112 1180 1298 1390 1529 2224 2360 2596 2780 3058 3245 4720 5192 5560 6116 6490 7645 8201 10384 11120 12232 12980 15290 16402 24464 25960 30580 32804 41005 51920 61160 65608 82010 90211 122320 131216 164020 180422 328040 360844 451055 656080 721688 902110 1443376 1804220 3608440 7216880