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5379360 = 253571601
BaseRepresentation
bin10100100001010100100000
3101010022002120
4110201110200
52334114420
6311144240
763503160
oct24412440
911108076
105379360
113044658
121975080
13116466c
14a005a0
15713d40
hex521520

5379360 has 96 divisors (see below), whose sum is σ = 19377792. Its totient is φ = 1228800.

The previous prime is 5379359. The next prime is 5379377. The reversal of 5379360 is 639735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its 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 15 ways as a sum of consecutive naturals, for example, 2560 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (201852).

Almost surely, 25379360 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 5379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688896).

5379360 is an abundant number, since it is smaller than the sum of its proper divisors (13998432).

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

5379360 is a wasteful number, since it uses less digits than its factorization.

5379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 5379360 is about 2319.3447350491. The cubic root of 5379360 is about 175.2172539877.

The spelling of 5379360 in words is "five million, three hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1601 1680 3202 3360 4803 6404 8005 9606 11207 12808 16010 19212 22414 24015 25616 32020 33621 38424 44828 48030 51232 56035 64040 67242 76848 89656 96060 112070 128080 134484 153696 168105 179312 192120 224140 256160 268968 336210 358624 384240 448280 537936 672420 768480 896560 1075872 1344840 1793120 2689680 5379360