Search a number
-
+
5240368 = 24771659
BaseRepresentation
bin10011111111011000110000
3100212020102201
4103333120300
52320142433
6304152544
762354020
oct23773060
910766381
105240368
112a5a191
121908754
131116313
149a5a80
156d7a7d
hex4ff630

5240368 has 40 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 2210880.

The previous prime is 5240357. The next prime is 5240377. The reversal of 5240368 is 8630425.

It is a super-2 number, since 2×52403682 = 54922913550848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 7623 + ... + 8281.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 25240368 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 5240368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

5240368 is an abundant number, since it is smaller than the sum of its proper divisors (6544592).

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

5240368 is a wasteful number, since it uses less digits than its factorization.

5240368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5240368 is about 2289.1850078139. The cubic root of 5240368 is about 173.6949780060.

The spelling of 5240368 in words is "five million, two hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 659 994 1136 1318 1988 2636 3976 4613 5272 7952 9226 10544 18452 36904 46789 73808 93578 187156 327523 374312 655046 748624 1310092 2620184 5240368