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247105080 = 23345531439
BaseRepresentation
bin11101011101010…
…00011000111000
3122012222020110000
432232220120320
51001224330310
640304153000
76060233655
oct1656503070
9565866400
10247105080
11117536782
126a908760
133c26ab31
1424b64c2c
1516a614c0
hexeba8638

247105080 has 160 divisors (see below), whose sum is σ = 846806400. Its totient is φ = 64606464.

The previous prime is 247105037. The next prime is 247105091. The reversal of 247105080 is 80501742.

247105080 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 2×2471050802 = 122121841123612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171001 + ... + 172439.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2247105080 is an apocalyptic number.

247105080 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 247105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423403200).

247105080 is an abundant number, since it is smaller than the sum of its proper divisors (599701320).

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

247105080 is a wasteful number, since it uses less digits than its factorization.

247105080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 247105080 is about 15719.5763301687. The cubic root of 247105080 is about 627.5194980264.

The spelling of 247105080 in words is "two hundred forty-seven million, one hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1439 1590 1620 1908 2120 2385 2862 2878 3180 3240 3816 4293 4317 4770 5724 5756 6360 7155 7195 8586 8634 9540 11448 11512 12951 14310 14390 17172 17268 19080 21465 21585 25902 28620 28780 34344 34536 38853 42930 43170 51804 57240 57560 64755 76267 77706 85860 86340 103608 116559 129510 152534 155412 171720 172680 194265 228801 233118 259020 305068 310824 381335 388530 457602 466236 518040 582795 610136 686403 762670 777060 915204 932472 1144005 1165590 1372806 1525340 1554120 1830408 2059209 2288010 2331180 2745612 3050680 3432015 4118418 4576020 4662360 5491224 6177627 6864030 8236836 9152040 10296045 12355254 13728060 16473672 20592090 24710508 27456120 30888135 41184180 49421016 61776270 82368360 123552540 247105080