[go: up one dir, main page]

Search a number
-
+
2307280 = 245151191
BaseRepresentation
bin1000110011010011010000
311100012222211
420303103100
51042313110
6121241504
725416523
oct10632320
94305884
102307280
111336548
12933294
1362a271
14440bba
1530898a
hex2334d0

2307280 has 40 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 912000.

The previous prime is 2307259. The next prime is 2307281. The reversal of 2307280 is 827032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307281) 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, 11985 + ... + 12175.

22307280 is an apocalyptic number.

2307280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2307280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

2307280 is an abundant number, since it is smaller than the sum of its proper divisors (3120944).

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

2307280 is a wasteful number, since it uses less digits than its factorization.

2307280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2307280 is about 1518.9733374882. The cubic root of 2307280 is about 132.1397357084.

The spelling of 2307280 in words is "two million, three hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 191 302 382 604 755 764 955 1208 1510 1528 1910 2416 3020 3056 3820 6040 7640 12080 15280 28841 57682 115364 144205 230728 288410 461456 576820 1153640 2307280