Search a number
-
+
116385696 = 2532757731
BaseRepresentation
bin1101110111111…
…10011110100000
322010000000011100
412323332132200
5214243320241
615314314400
72612155620
oct673763640
9263000140
10116385696
115a773329
1232b88a00
131b15ca9b
1411658880
15a33e9b6
hex6efe7a0

116385696 has 72 divisors (see below), whose sum is σ = 378260064. Its totient is φ = 33252480.

The previous prime is 116385691. The next prime is 116385713. The reversal of 116385696 is 696583611.

116385696 is a `hidden beast` number, since 1 + 1 + 638 + 5 + 6 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116385691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26850 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (5253612).

Almost surely, 2116385696 is an apocalyptic number.

116385696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116385696 is an abundant number, since it is smaller than the sum of its proper divisors (261874368).

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

116385696 is a wasteful number, since it uses less digits than its factorization.

116385696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57754 (or 57743 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 116385696 is about 10788.2202424682. The cubic root of 116385696 is about 488.2398265778.

The spelling of 116385696 in words is "one hundred sixteen million, three hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 57731 115462 173193 230924 346386 404117 461848 519579 692772 808234 923696 1039158 1212351 1385544 1616468 1847392 2078316 2424702 2771088 3232936 3637053 4156632 4849404 5542176 6465872 7274106 8313264 9698808 12931744 14548212 16626528 19397616 29096424 38795232 58192848 116385696