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7231980 = 2235767257
BaseRepresentation
bin11011100101100111101100
3111121102102010
4123211213230
53322410410
6415001220
7115320330
oct33454754
914542363
107231980
11409a548
122509210
1316629a2
14d637c0
1597cc20
hex6e59ec

7231980 has 96 divisors (see below), whose sum is σ = 23579136. Its totient is φ = 1622016.

The previous prime is 7231979. The next prime is 7231981. The reversal of 7231980 is 891327.

It is a happy number.

7231980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7231979) and next prime (7231981).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7231981) 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, 28012 + ... + 28268.

It is an arithmetic number, because the mean of its divisors is an integer number (245616).

Almost surely, 27231980 is an apocalyptic number.

7231980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7231980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789568).

7231980 is an abundant number, since it is smaller than the sum of its proper divisors (16347156).

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

7231980 is a wasteful number, since it uses less digits than its factorization.

7231980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7231980 is about 2689.2340917072. The cubic root of 7231980 is about 193.3833468178.

The spelling of 7231980 in words is "seven million, two hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 257 268 335 402 420 469 514 670 771 804 938 1005 1028 1285 1340 1407 1542 1799 1876 2010 2345 2570 2814 3084 3598 3855 4020 4690 5140 5397 5628 7035 7196 7710 8995 9380 10794 14070 15420 17219 17990 21588 26985 28140 34438 35980 51657 53970 68876 86095 103314 107940 120533 172190 206628 241066 258285 344380 361599 482132 516570 602665 723198 1033140 1205330 1446396 1807995 2410660 3615990 7231980