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5187360 = 2535101107
BaseRepresentation
bin10011110010011100100000
3100202112201110
4103302130200
52311443420
6303103320
762043333
oct23623440
910675643
105187360
112a23382
1218a1b40
1310c8159
1499061a
156c6ee0
hex4f2720

5187360 has 96 divisors (see below), whose sum is σ = 16656192. Its totient is φ = 1356800.

The previous prime is 5187359. The next prime is 5187367. The reversal of 5187360 is 637815.

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

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

It is not an unprimeable number, because it can be changed into a prime (5187367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48427 + ... + 48533.

It is an arithmetic number, because the mean of its divisors is an integer number (173502).

Almost surely, 25187360 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 5187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328096).

5187360 is an abundant number, since it is smaller than the sum of its proper divisors (11468832).

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

5187360 is a wasteful number, since it uses less digits than its factorization.

5187360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5187360 is about 2277.5776605859. The cubic root of 5187360 is about 173.1073320169.

The spelling of 5187360 in words is "five million, one hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 107 120 160 202 214 240 303 321 404 428 480 505 535 606 642 808 856 1010 1070 1212 1284 1515 1605 1616 1712 2020 2140 2424 2568 3030 3210 3232 3424 4040 4280 4848 5136 6060 6420 8080 8560 9696 10272 10807 12120 12840 16160 17120 21614 24240 25680 32421 43228 48480 51360 54035 64842 86456 108070 129684 162105 172912 216140 259368 324210 345824 432280 518736 648420 864560 1037472 1296840 1729120 2593680 5187360