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5279040 = 263351347
BaseRepresentation
bin10100001000110101000000
3100221012111000
4110020311000
52322412130
6305052000
762604534
oct24106500
910835430
105279040
112a86248
121927000
13112aac0
149b5bc4
156e4260
hex508d40

5279040 has 224 divisors, whose sum is σ = 20482560. Its totient is φ = 1271808.

The previous prime is 5279039. The next prime is 5279041. The reversal of 5279040 is 409725.

It is an interprime number because it is at equal distance from previous prime (5279039) and next prime (5279041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5278995 and 5279013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112297 + ... + 112343.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 25279040 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 5279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

5279040 is an abundant number, since it is smaller than the sum of its proper divisors (15203520).

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

5279040 is a wasteful number, since it uses less digits than its factorization.

5279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5279040 is about 2297.6161559321. The cubic root of 5279040 is about 174.1211997442.

The spelling of 5279040 in words is "five million, two hundred seventy-nine thousand, forty".