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5320512 = 26333079
BaseRepresentation
bin10100010010111101000000
3101000022101000
4110102331000
52330224022
6310012000
763136461
oct24227500
911008330
105320512
11300441a
121947000
131143942
149c6d68
157016ac
hex512f40

5320512 has 56 divisors (see below), whose sum is σ = 15646400. Its totient is φ = 1772928.

The previous prime is 5320501. The next prime is 5320583. The reversal of 5320512 is 2150235.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (279400).

Almost surely, 25320512 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 5320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823200).

5320512 is an abundant number, since it is smaller than the sum of its proper divisors (10325888).

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

5320512 is a wasteful number, since it uses less digits than its factorization.

5320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5320512 is about 2306.6235063399. The cubic root of 5320512 is about 174.5759747767.

Adding to 5320512 its reverse (2150235), we get a palindrome (7470747).

It can be divided in two parts, 5320 and 512, that added together give a cube (5832 = 183).

The spelling of 5320512 in words is "five million, three hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3079 6158 9237 12316 18474 24632 27711 36948 49264 55422 73896 83133 98528 110844 147792 166266 197056 221688 295584 332532 443376 591168 665064 886752 1330128 1773504 2660256 5320512