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7480 = 2351117
BaseRepresentation
bin1110100111000
3101021001
41310320
5214410
654344
730544
oct16470
911231
107480
115690
1243b4
133535
142a24
15233a
hex1d38

7480 has 32 divisors (see below), whose sum is σ = 19440. Its totient is φ = 2560.

The previous prime is 7477. The next prime is 7481. The reversal of 7480 is 847.

It is a happy number.

7480 is an undulating number in base 13.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 448.

27480 is an apocalyptic number.

7480 is the 55-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720).

7480 is an abundant number, since it is smaller than the sum of its proper divisors (11960).

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

7480 is a wasteful number, since it uses less digits than its factorization.

7480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 7480 is about 86.4869932418. The cubic root of 7480 is about 19.5569233050.

The spelling of 7480 in words is "seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480