Search a number
-
+
5200104 = 2337132381
BaseRepresentation
bin10011110101100011101000
3100210012012110
4103311203220
52312400404
6303242320
762125440
oct23654350
910705173
105200104
112a31a08
1218a93a0
131100bb0
14995120
156cab89
hex4f58e8

5200104 has 64 divisors (see below), whose sum is σ = 16007040. Its totient is φ = 1370880.

The previous prime is 5200103. The next prime is 5200123. The reversal of 5200104 is 4010025.

5200104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52001042 = 54082163221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 5200104.

It is not an unprimeable number, because it can be changed into a prime (5200103) 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, 994 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (250110).

Almost surely, 25200104 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 5200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003520).

5200104 is an abundant number, since it is smaller than the sum of its proper divisors (10806936).

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

5200104 is a wasteful number, since it uses less digits than its factorization.

5200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5200104 is about 2280.3736535928. The cubic root of 5200104 is about 173.2489760460.

Adding to 5200104 its reverse (4010025), we get a palindrome (9210129).

The spelling of 5200104 in words is "five million, two hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2381 4762 7143 9524 14286 16667 19048 28572 30953 33334 50001 57144 61906 66668 92859 100002 123812 133336 185718 200004 216671 247624 371436 400008 433342 650013 742872 866684 1300026 1733368 2600052 5200104