Search a number
-
+
117027666 = 2347313329
BaseRepresentation
bin1101111100110…
…11001101010010
322011012121210000
412332123031102
5214424341131
615340150430
72620501350
oct676331522
9264177700
10117027666
1160071688
1233238416
131b326052
14117847d0
15a419ce6
hex6f9b352

117027666 has 80 divisors (see below), whose sum is σ = 309450240. Its totient is φ = 32348160.

The previous prime is 117027661. The next prime is 117027683. The reversal of 117027666 is 666720711.

It is a self number, because there is not a number n which added to its sum of digits gives 117027666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117027661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33490 + ... + 36818.

It is an arithmetic number, because the mean of its divisors is an integer number (3868128).

Almost surely, 2117027666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117027666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725120).

117027666 is an abundant number, since it is smaller than the sum of its proper divisors (192422574).

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

117027666 is a wasteful number, since it uses less digits than its factorization.

117027666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 117027666 is about 10817.9326121029. The cubic root of 117027666 is about 489.1358725146.

The spelling of 117027666 in words is "one hundred seventeen million, twenty-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1674 1953 2511 3329 3906 5022 5859 6658 9987 11718 17577 19974 23303 29961 35154 46606 59922 69909 89883 103199 139818 179766 206398 209727 269649 309597 419454 539298 619194 629181 722393 928791 1258362 1444786 1857582 1887543 2167179 2786373 3775086 4334358 5572746 6501537 8359119 13003074 16718238 19504611 39009222 58513833 117027666