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7074144 = 2532711229
BaseRepresentation
bin11010111111000101100000
3111022101220100
4122333011200
53302333034
6411342400
7114062220
oct32770540
914271810
107074144
113aa1a00
122451a00
131608bac
14d22080
1594b099
hex6bf160

7074144 has 216 divisors, whose sum is σ = 26142480. Its totient is φ = 1774080.

The previous prime is 7074121. The next prime is 7074157. The reversal of 7074144 is 4414707.

7074144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243922 + ... + 243950.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 27074144 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 7074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

7074144 is an abundant number, since it is smaller than the sum of its proper divisors (19068336).

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

7074144 is a wasteful number, since it uses less digits than its factorization.

7074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7074144 is about 2659.7263017085. The cubic root of 7074144 is about 191.9661398623.

It can be divided in two parts, 707 and 4144, that added together give a triangular number (4851 = T98).

The spelling of 7074144 in words is "seven million, seventy-four thousand, one hundred forty-four".