Search a number
-
+
116436560 = 2451976603
BaseRepresentation
bin1101111000010…
…10111001010000
322010002120221012
412330022321100
5214301432220
615315350052
72612460122
oct674127120
9263076835
10116436560
115a7a8569
1232bb2328
131b179c96
141166d212
15a34eac5
hex6f0ae50

116436560 has 40 divisors (see below), whose sum is σ = 284966880. Its totient is φ = 44122752.

The previous prime is 116436539. The next prime is 116436563. The reversal of 116436560 is 65634611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1164365603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116436563) 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, 36782 + ... + 39821.

It is an arithmetic number, because the mean of its divisors is an integer number (7124172).

Almost surely, 2116436560 is an apocalyptic number.

116436560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116436560 is an abundant number, since it is smaller than the sum of its proper divisors (168530320).

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

116436560 is a wasteful number, since it uses less digits than its factorization.

116436560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76635 (or 76629 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 116436560 is about 10790.5773710214. The cubic root of 116436560 is about 488.3109413126.

The spelling of 116436560 in words is "one hundred sixteen million, four hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 76603 153206 306412 383015 612824 766030 1225648 1455457 1532060 2910914 3064120 5821828 6128240 7277285 11643656 14554570 23287312 29109140 58218280 116436560