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8245740 = 2235532593
BaseRepresentation
bin11111011101000111101100
3120111221000210
4133131013230
54102330430
6452422420
7130042026
oct37350754
916457023
108245740
114722168
122917a10
131929249
141149016
15acd2b0
hex7dd1ec

8245740 has 48 divisors (see below), whose sum is σ = 23532768. Its totient is φ = 2156544.

The previous prime is 8245711. The next prime is 8245747. The reversal of 8245740 is 475428.

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

It is a d-powerful number, because it can be written as 87 + 27 + 45 + 59 + 7 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 8245698 and 8245707.

It is not an unprimeable number, because it can be changed into a prime (8245747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884 + ... + 4476.

It is an arithmetic number, because the mean of its divisors is an integer number (490266).

Almost surely, 28245740 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 8245740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766384).

8245740 is an abundant number, since it is smaller than the sum of its proper divisors (15287028).

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

8245740 is a wasteful number, since it uses less digits than its factorization.

8245740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 8245740 is about 2871.5396566999. The cubic root of 8245740 is about 202.0272158866.

The spelling of 8245740 in words is "eight million, two hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2593 3180 5186 7779 10372 12965 15558 25930 31116 38895 51860 77790 137429 155580 274858 412287 549716 687145 824574 1374290 1649148 2061435 2748580 4122870 8245740