Search a number
-
+
5280670260 = 22345131149167
BaseRepresentation
bin1001110101100000…
…01010001000110100
3111122000111211210000
410322300022020310
541303322422020
62231555031300
7244600646055
oct47260121064
914560454700
105280670260
11226a8897a8
12103459b530
1366204c378
1438148272c
1520d8e8090
hex13ac0a234

5280670260 has 240 divisors, whose sum is σ = 16904764800. Its totient is φ = 1379738880.

The previous prime is 5280670259. The next prime is 5280670261. The reversal of 5280670260 is 620760825.

5280670260 is a `hidden beast` number, since 528 + 0 + 6 + 70 + 2 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5280670259) and next prime (5280670261).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5280670261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31620697 + ... + 31620863.

It is an arithmetic number, because the mean of its divisors is an integer number (70436520).

Almost surely, 25280670260 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 5280670260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452382400).

5280670260 is an abundant number, since it is smaller than the sum of its proper divisors (11624094540).

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

5280670260 is a wasteful number, since it uses less digits than its factorization.

5280670260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5280670260 is about 72668.2204268138. The cubic root of 5280670260 is about 1741.3912179134.

The spelling of 5280670260 in words is "five billion, two hundred eighty million, six hundred seventy thousand, two hundred sixty".