Search a number
-
+
116534304 = 25322931381
BaseRepresentation
bin1101111001000…
…10110000100000
322010021120000100
412330202300200
5214313044204
615321422400
72613345105
oct674426040
9263246010
10116534304
115a864a47
123303aa00
131b1b2613
1411696aac
15a36da39
hex6f22c20

116534304 has 72 divisors (see below), whose sum is σ = 332766252. Its totient is φ = 38684160.

The previous prime is 116534293. The next prime is 116534321. The reversal of 116534304 is 403435611.

116534304 is a `hidden beast` number, since 1 + 1 + 653 + 4 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109244304 + 7290000 = 10452^2 + 2700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83694 + ... + 85074.

Almost surely, 2116534304 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 116534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166383126).

116534304 is an abundant number, since it is smaller than the sum of its proper divisors (216231948).

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

116534304 is a wasteful number, since it uses less digits than its factorization.

116534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 116534304 is about 10795.1055576127. The cubic root of 116534304 is about 488.4475424946.

Adding to 116534304 its reverse (403435611), we get a palindrome (519969915).

The spelling of 116534304 in words is "one hundred sixteen million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1381 1758 2344 2637 2762 3516 4143 4688 5274 5524 7032 8286 9376 10548 11048 12429 14064 16572 21096 22096 24858 28128 33144 42192 44192 49716 66288 84384 99432 132576 198864 397728 404633 809266 1213899 1618532 2427798 3237064 3641697 4855596 6474128 7283394 9711192 12948256 14566788 19422384 29133576 38844768 58267152 116534304