Search a number
-
+
117170424 = 23327383607
BaseRepresentation
bin1101111101111…
…10000011111000
322011110212121100
412332332003320
5214443423144
615343211400
72621634510
oct676760370
9264425540
10117170424
1160159968
12332a6b60
131b376017
14117c0840
15a447269
hex6fbe0f8

117170424 has 96 divisors (see below), whose sum is σ = 364216320. Its totient is φ = 33334848.

The previous prime is 117170419. The next prime is 117170429. The reversal of 117170424 is 424071711.

117170424 is a `hidden beast` number, since 1 + 171 + 70 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (117170419) and next prime (117170429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117170429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192729 + ... + 193335.

It is an arithmetic number, because the mean of its divisors is an integer number (3793920).

Almost surely, 2117170424 is an apocalyptic number.

117170424 is a gapful number since it is divisible by the number (14) 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 117170424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182108160).

117170424 is an abundant number, since it is smaller than the sum of its proper divisors (247045896).

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

117170424 is a wasteful number, since it uses less digits than its factorization.

117170424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 117170424 is about 10824.5288119160. The cubic root of 117170424 is about 489.3346850031.

The spelling of 117170424 in words is "one hundred seventeen million, one hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 383 504 607 766 1149 1214 1532 1821 2298 2428 2681 3064 3447 3642 4249 4596 4856 5362 5463 6894 7284 8043 8498 9192 10724 10926 12747 13788 14568 16086 16996 21448 21852 24129 25494 27576 32172 33992 38241 43704 48258 50988 64344 76482 96516 101976 152964 193032 232481 305928 464962 697443 929924 1394886 1627367 1859848 2092329 2789772 3254734 4184658 4882101 5579544 6509468 8369316 9764202 13018936 14646303 16738632 19528404 29292606 39056808 58585212 117170424