Search a number
-
+
116481824 = 2517277773
BaseRepresentation
bin1101111000101…
…01111100100000
322010011220000122
412330111330200
5214304404244
615320335412
72613036104
oct674257440
9263156018
10116481824
115a829578
1233014568
131b194774
1411681904
15a35d1ee
hex6f15f20

116481824 has 48 divisors (see below), whose sum is σ = 244005048. Its totient is φ = 54546432.

The previous prime is 116481823. The next prime is 116481829. The reversal of 116481824 is 428184611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69422224 + 47059600 = 8332^2 + 6860^2 .

It is not an unprimeable number, because it can be changed into a prime (116481823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150302 + ... + 151074.

Almost surely, 2116481824 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 116481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122002524).

116481824 is an abundant number, since it is smaller than the sum of its proper divisors (127523224).

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

116481824 is a wasteful number, since it uses less digits than its factorization.

116481824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 116481824 is about 10792.6745526769. The cubic root of 116481824 is about 488.3742090781.

The spelling of 116481824 in words is "one hundred sixteen million, four hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 277 544 554 773 1108 1546 2216 3092 4432 4709 6184 8864 9418 12368 13141 18836 24736 26282 37672 52564 75344 105128 150688 210256 214121 420512 428242 856484 1712968 3425936 3640057 6851872 7280114 14560228 29120456 58240912 116481824