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5140096 = 27133089
BaseRepresentation
bin10011100110111010000000
3100200010212221
4103212322000
52303440341
6302100424
761455463
oct23467200
910603787
105140096
1129a0915
12187a714
1310ac7a0
1497b2da
156b7ed1
hex4e6e80

5140096 has 32 divisors (see below), whose sum is σ = 11031300. Its totient is φ = 2371584.

The previous prime is 5140087. The next prime is 5140117. The reversal of 5140096 is 6900415.

It can be written as a sum of positive squares in 2 ways, for example, as 5125696 + 14400 = 2264^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5140096.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120 + ... + 3208.

Almost surely, 25140096 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 5140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515650).

5140096 is an abundant number, since it is smaller than the sum of its proper divisors (5891204).

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

5140096 is a wasteful number, since it uses less digits than its factorization.

5140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5140096 is about 2267.1779815445. The cubic root of 5140096 is about 172.5799783159.

The spelling of 5140096 in words is "five million, one hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3089 6178 12356 24712 40157 49424 80314 98848 160628 197696 321256 395392 642512 1285024 2570048 5140096