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9007240 = 2351121861
BaseRepresentation
bin100010010111…
…000010001000
3121221121121111
4202113002020
54301212430
6521020104
7136363114
oct42270210
917847544
109007240
1150a2300
123024634
131b34a38
1412a6744
15bcdc2a
hex897088

9007240 has 48 divisors (see below), whose sum is σ = 22288140. Its totient is φ = 3273600.

The previous prime is 9007231. The next prime is 9007241. The reversal of 9007240 is 427009.

9007240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 1684804 = 2706^2 + 1298^2 .

It is a super-2 number, since 2×90072402 = 162260744835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (9007241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3910 + ... + 5770.

Almost surely, 29007240 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 9007240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144070).

9007240 is an abundant number, since it is smaller than the sum of its proper divisors (13280900).

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

9007240 is a wasteful number, since it uses less digits than its factorization.

9007240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 9007240 is about 3001.2064240902. The cubic root of 9007240 is about 208.0641444179.

The spelling of 9007240 in words is "nine million, seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1861 2420 3722 4840 7444 9305 14888 18610 20471 37220 40942 74440 81884 102355 163768 204710 225181 409420 450362 818840 900724 1125905 1801448 2251810 4503620 9007240