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7422480 = 2432513261
BaseRepresentation
bin11100010100001000010000
3111222002201200
4130110020100
53400004410
6423031200
7120042612
oct34241020
914862650
107422480
11420a68a
12259b500
1316cb600
14db2db2
159b93c0
hex714210

7422480 has 180 divisors, whose sum is σ = 27434628. Its totient is φ = 1797120.

The previous prime is 7422479. The next prime is 7422487. The reversal of 7422480 is 842247.

It can be written as a sum of positive squares in 6 ways, for example, as 3549456 + 3873024 = 1884^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7422487) 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 35 ways as a sum of consecutive naturals, for example, 121650 + ... + 121710.

Almost surely, 27422480 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 7422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717314).

7422480 is an abundant number, since it is smaller than the sum of its proper divisors (20012148).

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

7422480 is a wasteful number, since it uses less digits than its factorization.

7422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7422480 is about 2724.4228746654. The cubic root of 7422480 is about 195.0666438876.

The spelling of 7422480 in words is "seven million, four hundred twenty-two thousand, four hundred eighty".