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8682240 = 283571719
BaseRepresentation
bin100001000111…
…101100000000
3121100002210110
4201013230000
54210312430
6510031320
7133540440
oct41075400
917302713
108682240
1149a0106
122aa8540
131a4cb28
141220120
15b677b0
hex847b00

8682240 has 288 divisors, whose sum is σ = 35320320. Its totient is φ = 1769472.

The previous prime is 8682239. The next prime is 8682241. The reversal of 8682240 is 422868.

It is a happy number.

8682240 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 (8682239) and next prime (8682241).

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

It is a junction number, because it is equal to n+sod(n) for n = 8682198 and 8682207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8682241) 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, 456951 + ... + 456969.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 28682240 is an apocalyptic number.

8682240 is a gapful number since it is divisible by the number (80) 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 8682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

8682240 is an abundant number, since it is smaller than the sum of its proper divisors (26638080).

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

8682240 is a wasteful number, since it uses less digits than its factorization.

8682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8682240 is about 2946.5641007791. The cubic root of 8682240 is about 205.5309654322.

The spelling of 8682240 in words is "eight million, six hundred eighty-two thousand, two hundred forty".