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247116480 = 26351319801
BaseRepresentation
bin11101011101010…
…11001011000000
3122012222211002020
432232223023000
51001230211410
640304321440
76060312132
oct1656531300
9565884066
10247116480
111175442a6
126a913280
133c273090
1424b69052
1516a64a70
hexebab2c0

247116480 has 112 divisors (see below), whose sum is σ = 844990944. Its totient is φ = 60825600.

The previous prime is 247116479. The next prime is 247116491. The reversal of 247116480 is 84611742.

247116480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2471164802 = 122133109375180800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580 + ... + 22380.

It is an arithmetic number, because the mean of its divisors is an integer number (7544562).

Almost surely, 2247116480 is an apocalyptic number.

247116480 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 247116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422495472).

247116480 is an abundant number, since it is smaller than the sum of its proper divisors (597874464).

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

247116480 is a wasteful number, since it uses less digits than its factorization.

247116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19834 (or 19824 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 247116480 is about 15719.9389311791. The cubic root of 247116480 is about 627.5291479188.

The spelling of 247116480 in words is "two hundred forty-seven million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 19801 39602 59403 79204 99005 118806 158408 198010 237612 257413 297015 316816 396020 475224 514826 594030 633632 772239 792040 950448 1029652 1188060 1267264 1287065 1544478 1584080 1900896 2059304 2376120 2574130 3088956 3168160 3801792 3861195 4118608 4752240 5148260 6177912 6336320 7722390 8237216 9504480 10296520 12355824 15444780 16474432 19008960 20593040 24711648 30889560 41186080 49423296 61779120 82372160 123558240 247116480