Search a number
-
+
247345280 = 27571331137
BaseRepresentation
bin11101011111000…
…11000010000000
3122020102102221022
432233203002000
51001310022110
640313245012
76062254160
oct1657430200
9566372838
10247345280
11117690196
126aa03768
133c323270
1424bc85a0
1516aac755
hexebe3080

247345280 has 256 divisors, whose sum is σ = 756725760. Its totient is φ = 75202560.

The previous prime is 247345277. The next prime is 247345283. The reversal of 247345280 is 82543742.

It is an interprime number because it is at equal distance from previous prime (247345277) and next prime (247345283).

It is a super-2 number, since 2×2473452802 = 122359375076556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 247345280.

It is not an unprimeable number, because it can be changed into a prime (247345283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805372 + ... + 1805508.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 2247345280 is an apocalyptic number.

247345280 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 247345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378362880).

247345280 is an abundant number, since it is smaller than the sum of its proper divisors (509380480).

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

247345280 is a wasteful number, since it uses less digits than its factorization.

247345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 247345280 is about 15727.2146294250. The cubic root of 247345280 is about 627.7227602316.

The spelling of 247345280 in words is "two hundred forty-seven million, three hundred forty-five thousand, two hundred eighty".