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5097040 = 24513329
BaseRepresentation
bin10011011100011001010000
3100120221211021
4103130121100
52301101130
6301125224
761216114
oct23343120
910527737
105097040
112971533
121859814
131096000
14969744
156aa37a
hex4dc650

5097040 has 80 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1817088.

The previous prime is 5097031. The next prime is 5097041. The reversal of 5097040 is 407905.

It can be written as a sum of positive squares in 8 ways, for example, as 3779136 + 1317904 = 1944^2 + 1148^2 .

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 = 5096996 and 5097014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5097041) 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, 175746 + ... + 175774.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 25097040 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 5097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

5097040 is an abundant number, since it is smaller than the sum of its proper divisors (8183360).

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

5097040 is a wasteful number, since it uses less digits than its factorization.

5097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5097040 is about 2257.6625079936. The cubic root of 5097040 is about 172.0967546487.

The spelling of 5097040 in words is "five million, ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 169 208 232 260 290 338 377 464 520 580 676 754 845 1040 1160 1352 1508 1690 1885 2197 2320 2704 3016 3380 3770 4394 4901 6032 6760 7540 8788 9802 10985 13520 15080 17576 19604 21970 24505 30160 35152 39208 43940 49010 63713 78416 87880 98020 127426 175760 196040 254852 318565 392080 509704 637130 1019408 1274260 2548520 5097040