Search a number
-
+
247700064 = 25317236599
BaseRepresentation
bin11101100001110…
…01101001100000
3122021002110121110
432300321221200
51001402400224
640325023320
76065262423
oct1660715140
9567073543
10247700064
111179027a7
126ab54b40
133c4188b1
1424c7b9ba
1516b2c929
hexec39a60

247700064 has 96 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 74319872.

The previous prime is 247700053. The next prime is 247700071. The reversal of 247700064 is 460007742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2477000642 = 122710643411208192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34237 + ... + 40835.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2247700064 is an apocalyptic number.

247700064 is a gapful number since it is divisible by the number (24) 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 247700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

247700064 is an abundant number, since it is smaller than the sum of its proper divisors (470802336).

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

247700064 is a wasteful number, since it uses less digits than its factorization.

247700064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 247700064 is about 15738.4898894398. The cubic root of 247700064 is about 628.0227451970.

The spelling of 247700064 in words is "two hundred forty-seven million, seven hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1564 1632 2208 2346 3128 4692 6256 6599 9384 12512 13198 18768 19797 26396 37536 39594 52792 79188 105584 112183 151777 158376 211168 224366 303554 316752 336549 448732 455331 607108 633504 673098 897464 910662 1214216 1346196 1794928 1821324 2428432 2580209 2692392 3589856 3642648 4856864 5160418 5384784 7285296 7740627 10320836 10769568 14570592 15481254 20641672 30962508 41283344 61925016 82566688 123850032 247700064