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5226960 = 243529751
BaseRepresentation
bin10011111100000111010000
3100211120001010
4103330013100
52314230320
6304010520
762266644
oct23740720
910746033
105226960
112a50102
121900a40
13111019b
149a0c24
156d3ae0
hex4fc1d0

5226960 has 80 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 1344000.

The previous prime is 5226959. The next prime is 5226983. The reversal of 5226960 is 696225.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×52269602 = 54642221683200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6585 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (209808).

Almost surely, 25226960 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 5226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392320).

5226960 is an abundant number, since it is smaller than the sum of its proper divisors (11557680).

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

5226960 is a wasteful number, since it uses less digits than its factorization.

5226960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5226960 is about 2286.2545790003. The cubic root of 5226960 is about 173.5467128882.

The spelling of 5226960 in words is "five million, two hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 751 870 1160 1392 1502 1740 2253 2320 3004 3480 3755 4506 6008 6960 7510 9012 11265 12016 15020 18024 21779 22530 30040 36048 43558 45060 60080 65337 87116 90120 108895 130674 174232 180240 217790 261348 326685 348464 435580 522696 653370 871160 1045392 1306740 1742320 2613480 5226960