Search a number
-
+
8200680 = 2335371847
BaseRepresentation
bin11111010010000111101000
3120102122012220
4133102013220
54044410210
6451434040
7126463455
oct37220750
916378186
108200680
1146a1324
1228b5920
131911897
14113682c
15abec70
hex7d21e8

8200680 has 64 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 2126592.

The previous prime is 8200679. The next prime is 8200691. The reversal of 8200680 is 860028.

8200680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8200680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3517 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 28200680 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 8200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

8200680 is an abundant number, since it is smaller than the sum of its proper divisors (17079960).

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

8200680 is a wasteful number, since it uses less digits than its factorization.

8200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8200680 is about 2863.6829433441. The cubic root of 8200680 is about 201.6585415148.

The spelling of 8200680 in words is "eight million, two hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1847 2220 3694 4440 5541 7388 9235 11082 14776 18470 22164 27705 36940 44328 55410 68339 73880 110820 136678 205017 221640 273356 341695 410034 546712 683390 820068 1025085 1366780 1640136 2050170 2733560 4100340 8200680