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5349360 = 243531719
BaseRepresentation
bin10100011001111111110000
3101001202221110
4110121333300
52332134420
6310353320
763316542
oct24317760
911052843
105349360
113024065
12195b840
131153b03
149d3692
15709ee0
hex519ff0

5349360 has 80 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1378560.

The previous prime is 5349341. The next prime is 5349371. The reversal of 5349360 is 639435.

It is a happy number.

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7081 + ... + 7799.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 25349360 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 5349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

5349360 is an abundant number, since it is smaller than the sum of its proper divisors (11792400).

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

5349360 is a wasteful number, since it uses less digits than its factorization.

5349360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 5349360 is about 2312.8683490419. The cubic root of 5349360 is about 174.8909252268.

The spelling of 5349360 in words is "five million, three hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 719 744 930 1240 1438 1488 1860 2157 2480 2876 3595 3720 4314 5752 7190 7440 8628 10785 11504 14380 17256 21570 22289 28760 34512 43140 44578 57520 66867 86280 89156 111445 133734 172560 178312 222890 267468 334335 356624 445780 534936 668670 891560 1069872 1337340 1783120 2674680 5349360