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117461460 = 223523471811
BaseRepresentation
bin1110000000001…
…01000111010100
322012000122211110
413000011013110
5220032231320
615353335020
72624256144
oct700050724
9265018743
10117461460
1160338596
1233407470
131b44862c
1411858924
15a4a35e0
hex70051d4

117461460 has 96 divisors (see below), whose sum is σ = 350687232. Its totient is φ = 29307520.

The previous prime is 117461429. The next prime is 117461467. The reversal of 117461460 is 64164711.

117461460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

117461460 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117461467) 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, 63955 + ... + 65765.

It is an arithmetic number, because the mean of its divisors is an integer number (3652992).

Almost surely, 2117461460 is an apocalyptic number.

117461460 is a gapful number since it is divisible by the number (10) 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 117461460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175343616).

117461460 is an abundant number, since it is smaller than the sum of its proper divisors (233225772).

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

117461460 is a wasteful number, since it uses less digits than its factorization.

117461460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117461460 is about 10837.9638309048. The cubic root of 117461460 is about 489.7394977946.

The spelling of 117461460 in words is "one hundred seventeen million, four hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 1811 2162 2820 3243 3622 4324 5405 5433 6486 7244 9055 10810 10866 12972 16215 18110 21620 21732 27165 32430 36220 41653 54330 64860 83306 85117 108660 124959 166612 170234 208265 249918 255351 340468 416530 425585 499836 510702 624795 833060 851170 1021404 1249590 1276755 1702340 1957691 2499180 2553510 3915382 5107020 5873073 7830764 9788455 11746146 19576910 23492292 29365365 39153820 58730730 117461460