Search a number
-
+
6000280 = 23511131049
BaseRepresentation
bin10110111000111010011000
3102021211211121
4112320322120
53014002110
6332335024
7102000346
oct26707230
912254747
106000280
113429110
122014474
131321180
14b22996
157d7cda
hex5b8e98

6000280 has 64 divisors (see below), whose sum is σ = 15876000. Its totient is φ = 2012160.

The previous prime is 6000277. The next prime is 6000283. The reversal of 6000280 is 820006.

It is an interprime number because it is at equal distance from previous prime (6000277) and next prime (6000283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000283) 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, 5196 + ... + 6244.

Almost surely, 26000280 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 6000280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938000).

6000280 is an abundant number, since it is smaller than the sum of its proper divisors (9875720).

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

6000280 is a wasteful number, since it uses less digits than its factorization.

6000280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6000280 is about 2449.5468968771. The cubic root of 6000280 is about 181.7148858713.

Adding to 6000280 its reverse (820006), we get a palindrome (6820286).

The spelling of 6000280 in words is "six million, two hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1049 1144 1430 2098 2860 4196 5245 5720 8392 10490 11539 13637 20980 23078 27274 41960 46156 54548 57695 68185 92312 109096 115390 136370 150007 230780 272740 300014 461560 545480 600028 750035 1200056 1500070 3000140 6000280