Search a number
-
+
117068432 = 24131972857
BaseRepresentation
bin1101111101001…
…01001010010000
322011021200200212
412332211022100
5214432142212
615341103252
72621031245
oct676451220
9264250625
10117068432
116009a278
1233257b28
131b33b780
14117955cc
15a426e22
hex6fa5290

117068432 has 40 divisors (see below), whose sum is σ = 245593656. Its totient is φ = 53738496.

The previous prime is 117068423. The next prime is 117068437. The reversal of 117068432 is 234860711.

It can be written as a sum of positive squares in 4 ways, for example, as 38142976 + 78925456 = 6176^2 + 8884^2 .

It is not an unprimeable number, because it can be changed into a prime (117068437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39548 + ... + 42404.

Almost surely, 2117068432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122796828).

117068432 is an abundant number, since it is smaller than the sum of its proper divisors (128525224).

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

117068432 is a wasteful number, since it uses less digits than its factorization.

117068432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 117068432 is about 10819.8166343058. The cubic root of 117068432 is about 489.1926619296.

The spelling of 117068432 in words is "one hundred seventeen million, sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 2857 3152 5122 5714 10244 11428 20488 22856 37141 40976 45712 74282 148564 297128 562829 594256 1125658 2251316 4502632 7316777 9005264 14633554 29267108 58534216 117068432