Search a number
-
+
117419616 = 2532407707
BaseRepresentation
bin1101111111110…
…10111001100000
322011221112102200
412333322321200
5220024411431
615352413200
72624023146
oct677727140
9264845380
10117419616
116030a106
12333a7200
131b432582
1411847596
15a495ee6
hex6ffae60

117419616 has 36 divisors (see below), whose sum is σ = 333912852. Its totient is φ = 39139776.

The previous prime is 117419593. The next prime is 117419657. The reversal of 117419616 is 616914711.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 203566 + ... + 204141.

It is an arithmetic number, because the mean of its divisors is an integer number (9275357).

Almost surely, 2117419616 is an apocalyptic number.

117419616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117419616 is an abundant number, since it is smaller than the sum of its proper divisors (216493236).

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

117419616 is a wasteful number, since it uses less digits than its factorization.

117419616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407723 (or 407712 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 117419616 is about 10836.0332225404. The cubic root of 117419616 is about 489.6813366087.

The spelling of 117419616 in words is "one hundred seventeen million, four hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 407707 815414 1223121 1630828 2446242 3261656 3669363 4892484 6523312 7338726 9784968 13046624 14677452 19569936 29354904 39139872 58709808 117419616