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5200680 = 2335192281
BaseRepresentation
bin10011110101101100101000
3100210012222210
4103311230220
52312410210
6303245120
762130222
oct23655450
910705883
105200680
112a32391
1218a97a0
131101234
14995412
156cae20
hex4f5b28

5200680 has 64 divisors (see below), whose sum is σ = 16430400. Its totient is φ = 1313280.

The previous prime is 5200669. The next prime is 5200681. The reversal of 5200680 is 860025.

It is a happy number.

5200680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5200681) 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, 1140 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (256725).

Almost surely, 25200680 is an apocalyptic number.

It is a pronic number, being equal to 2280×2281.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215200).

5200680 is an abundant number, since it is smaller than the sum of its proper divisors (11229720).

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

5200680 is a wasteful number, since it uses less digits than its factorization.

5200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5200680 is about 2280.4999451875. The cubic root of 5200680 is about 173.2553725671.

The spelling of 5200680 in words is "five million, two hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 2281 4562 6843 9124 11405 13686 18248 22810 27372 34215 43339 45620 54744 68430 86678 91240 130017 136860 173356 216695 260034 273720 346712 433390 520068 650085 866780 1040136 1300170 1733560 2600340 5200680