Search a number
-
+
116359272 = 233210116001
BaseRepresentation
bin1101110111110…
…00000001101000
322002221122220200
412323320001220
5214241444042
615313552200
72612015601
oct673700150
9262848820
10116359272
115a755497
1232b75660
131b150a53
141164cda8
15a336c4c
hex6ef8068

116359272 has 48 divisors (see below), whose sum is σ = 318279780. Its totient is φ = 38400000.

The previous prime is 116359267. The next prime is 116359303. The reversal of 116359272 is 272953611.

116359272 is a `hidden beast` number, since 1 + 1 + 63 + 592 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90897156 + 25462116 = 9534^2 + 5046^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 729 + ... + 15272.

Almost surely, 2116359272 is an apocalyptic number.

116359272 is a gapful number since it is divisible by the number (12) 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 116359272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159139890).

116359272 is an abundant number, since it is smaller than the sum of its proper divisors (201920508).

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

116359272 is a wasteful number, since it uses less digits than its factorization.

116359272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114 (or 16107 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 116359272 is about 10786.9955038463. The cubic root of 116359272 is about 488.2028740825.

The spelling of 116359272 in words is "one hundred sixteen million, three hundred fifty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 16001 32002 48003 64004 96006 128008 144009 192012 288018 384024 576036 1152072 1616101 3232202 4848303 6464404 9696606 12928808 14544909 19393212 29089818 38786424 58179636 116359272