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5309040 = 2435112011
BaseRepresentation
bin10100010000001001110000
3100222201122010
4110100021300
52324342130
6305442520
763061152
oct24201160
910881563
105309040
112aa6840
121940440
13113b659
149c2ad2
156ed0b0
hex510270

5309040 has 80 divisors (see below), whose sum is σ = 17963136. Its totient is φ = 1286400.

The previous prime is 5309039. The next prime is 5309041. The reversal of 5309040 is 409035.

It is an interprime number because it is at equal distance from previous prime (5309039) and next prime (5309041).

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

It is a junction number, because it is equal to n+sod(n) for n = 5308998 and 5309016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309041) 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 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 3645.

Almost surely, 25309040 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 5309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981568).

5309040 is an abundant number, since it is smaller than the sum of its proper divisors (12654096).

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

5309040 is a wasteful number, since it uses less digits than its factorization.

5309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5309040 is about 2304.1354126874. The cubic root of 5309040 is about 174.4504118778.

The spelling of 5309040 in words is "five million, three hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2011 2640 4022 6033 8044 10055 12066 16088 20110 22121 24132 30165 32176 40220 44242 48264 60330 66363 80440 88484 96528 110605 120660 132726 160880 176968 221210 241320 265452 331815 353936 442420 482640 530904 663630 884840 1061808 1327260 1769680 2654520 5309040