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5329160 = 235172461
BaseRepresentation
bin10100010101000100001000
3101000202020022
4110111010020
52331013120
6310120012
763203624
oct24250410
911022208
105329160
11300a971
121950008
131147865
149ca184
15704025
hex515108

5329160 has 48 divisors (see below), whose sum is σ = 12765060. Its totient is φ = 2001920.

The previous prime is 5329157. The next prime is 5329171. The reversal of 5329160 is 619235.

It can be written as a sum of positive squares in 6 ways, for example, as 3363556 + 1965604 = 1834^2 + 1402^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11330 + ... + 11790.

Almost surely, 25329160 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 5329160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382530).

5329160 is an abundant number, since it is smaller than the sum of its proper divisors (7435900).

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

5329160 is a wasteful number, since it uses less digits than its factorization.

5329160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5329160 is about 2308.4973467604. The cubic root of 5329160 is about 174.6705092745.

The spelling of 5329160 in words is "five million, three hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 461 578 680 922 1156 1445 1844 2305 2312 2890 3688 4610 5780 7837 9220 11560 15674 18440 31348 39185 62696 78370 133229 156740 266458 313480 532916 666145 1065832 1332290 2664580 5329160