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5187104 = 251337337
BaseRepresentation
bin10011110010011000100000
3100202112100222
4103302120200
52311441404
6303102212
762042516
oct23623040
910675328
105187104
112a2316a
1218a1968
1310c7cc0
149904b6
156c6dbe
hex4f2620

5187104 has 48 divisors (see below), whose sum is σ = 11328408. Its totient is φ = 2322432.

The previous prime is 5187089. The next prime is 5187109. The reversal of 5187104 is 4017815.

5187104 = T325 + T326 + ... + T402.

It can be written as a sum of positive squares in 4 ways, for example, as 4080400 + 1106704 = 2020^2 + 1052^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (5187109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15224 + ... + 15560.

Almost surely, 25187104 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 5187104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664204).

5187104 is an abundant number, since it is smaller than the sum of its proper divisors (6141304).

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

5187104 is a wasteful number, since it uses less digits than its factorization.

5187104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 5187104 is about 2277.5214598330. The cubic root of 5187104 is about 173.1044843123.

The spelling of 5187104 in words is "five million, one hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 337 416 481 592 674 962 1184 1348 1924 2696 3848 4381 5392 7696 8762 10784 12469 15392 17524 24938 35048 49876 70096 99752 140192 162097 199504 324194 399008 648388 1296776 2593552 5187104