Search a number
-
+
2680355232 = 2533192331229
BaseRepresentation
bin1001111111000010…
…1111100110100000
320220210120011011000
42133300233212200
520442132331412
61121545152000
7123264433512
oct23760574640
96823504130
102680355232
111155a99615
1262978b600
133393c8c19
141b5d9bbb2
1510a4a44dc
hex9fc2f9a0

2680355232 has 384 divisors, whose sum is σ = 8902656000. Its totient is φ = 780088320.

The previous prime is 2680355231. The next prime is 2680355233. The reversal of 2680355232 is 2325530862.

2680355232 is a `hidden beast` number, since 26 + 80 + 3 + 552 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2680355231) and next prime (2680355233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2680355231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11704494 + ... + 11704722.

It is an arithmetic number, because the mean of its divisors is an integer number (23184000).

Almost surely, 22680355232 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 2680355232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328000).

2680355232 is an abundant number, since it is smaller than the sum of its proper divisors (6222300768).

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

2680355232 is a wasteful number, since it uses less digits than its factorization.

2680355232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2680355232 is about 51772.1472608583. The cubic root of 2680355232 is about 1389.0912805212.

The spelling of 2680355232 in words is "two billion, six hundred eighty million, three hundred fifty-five thousand, two hundred thirty-two".