Search a number
-
+
247369104 = 243211091549
BaseRepresentation
bin11101011111010…
…00110110010000
3122020110122121200
432233220312100
51001311302404
640313551200
76062413503
oct1657506620
9566418550
10247369104
111176a7084
126aa15500
133c331068
1424bd313a
1516ab4839
hexebe8d90

247369104 has 60 divisors (see below), whose sum is σ = 693361500. Its totient is φ = 82328832.

The previous prime is 247369103. The next prime is 247369141. The reversal of 247369104 is 401963742.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 214329600 = 5748^2 + 14640^2 .

It is a super-2 number, since 2×2473691042 = 122382947227525632, which contains 22 as substring.

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 (247369103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158922 + ... + 160470.

It is an arithmetic number, because the mean of its divisors is an integer number (11556025).

Almost surely, 2247369104 is an apocalyptic number.

247369104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

247369104 is an abundant number, since it is smaller than the sum of its proper divisors (445992396).

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

247369104 is a wasteful number, since it uses less digits than its factorization.

247369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 247369104 is about 15727.9720243902. The cubic root of 247369104 is about 627.7429134184.

The spelling of 247369104 in words is "two hundred forty-seven million, three hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1109 1549 2218 3098 3327 4436 4647 6196 6654 8872 9294 9981 12392 13308 13941 17744 18588 19962 24784 26616 27882 37176 39924 53232 55764 74352 79848 111528 159696 223056 1717841 3435682 5153523 6871364 10307046 13742728 15460569 20614092 27485456 30921138 41228184 61842276 82456368 123684552 247369104