Search a number
-
+
117161136 = 24321734703
BaseRepresentation
bin1101111101110…
…11110010110000
322011110101212100
412332323302300
5214443124021
615343100400
72621565441
oct676736260
9264411770
10117161136
1160152994
12332a1700
131b371a21
14117bb2c8
15a444626
hex6fbbcb0

117161136 has 60 divisors (see below), whose sum is σ = 329853888. Its totient is φ = 38819712.

The previous prime is 117161101. The next prime is 117161173. The reversal of 117161136 is 631161711.

117161136 is a `hidden beast` number, since 1 + 17 + 1 + 611 + 36 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22561 + ... + 27263.

Almost surely, 2117161136 is an apocalyptic number.

117161136 is a gapful number since it is divisible by the number (16) 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 117161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926944).

117161136 is an abundant number, since it is smaller than the sum of its proper divisors (212692752).

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

117161136 is a wasteful number, since it uses less digits than its factorization.

117161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4881 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 117161136 is about 10824.0997778106. The cubic root of 117161136 is about 489.3217549465.

The spelling of 117161136 in words is "one hundred seventeen million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 4703 6228 8304 9406 12456 14109 18812 24912 28218 37624 42327 56436 75248 84654 112872 169308 225744 338616 677232 813619 1627238 2440857 3254476 4881714 6508952 7322571 9763428 13017904 14645142 19526856 29290284 39053712 58580568 117161136