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5226120 = 233451613
BaseRepresentation
bin10011111011111010001000
3100211111220000
4103323322020
52314213440
6304003000
762264334
oct23737210
910744800
105226120
112a4a509
121900460
13110c9a3
149a07c4
156d3730
hex4fbe88

5226120 has 80 divisors (see below), whose sum is σ = 17576460. Its totient is φ = 1392768.

The previous prime is 5226113. The next prime is 5226127. The reversal of 5226120 is 216225.

5226120 is a `hidden beast` number, since 52 + 2 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5226113) and next prime (5226127).

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 324 = 2286^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5226093 and 5226102.

It is not an unprimeable number, because it can be changed into a prime (5226127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2434 + ... + 4046.

Almost surely, 25226120 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 5226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788230).

5226120 is an abundant number, since it is smaller than the sum of its proper divisors (12350340).

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

5226120 is a wasteful number, since it uses less digits than its factorization.

5226120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5226120 is about 2286.0708650433. The cubic root of 5226120 is about 173.5374157666.

The spelling of 5226120 in words is "five million, two hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1613 1620 3226 3240 4839 6452 8065 9678 12904 14517 16130 19356 24195 29034 32260 38712 43551 48390 58068 64520 72585 87102 96780 116136 130653 145170 174204 193560 217755 261306 290340 348408 435510 522612 580680 653265 871020 1045224 1306530 1742040 2613060 5226120