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116400069 = 3212933341
BaseRepresentation
bin1101111000000…
…01111111000101
322010000201212200
412330001333011
5214244300234
615314505113
72612245542
oct674017705
9263021780
10116400069
115a783105
1232b95199
131b1664a6
141165dbc9
15a343d99
hex6f01fc5

116400069 has 6 divisors (see below), whose sum is σ = 168133446. Its totient is φ = 77600040.

The previous prime is 116400047. The next prime is 116400077. The reversal of 116400069 is 960004611.

116400069 is a `hidden beast` number, since 11 + 640 + 0 + 0 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88172100 + 28227969 = 9390^2 + 5313^2 .

It is not a de Polignac number, because 116400069 - 28 = 116399813 is a prime.

It is a super-2 number, since 2×1164000692 = 27097952126409522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116400019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6466662 + ... + 6466679.

It is an arithmetic number, because the mean of its divisors is an integer number (28022241).

Almost surely, 2116400069 is an apocalyptic number.

It is an amenable number.

116400069 is a deficient number, since it is larger than the sum of its proper divisors (51733377).

116400069 is a wasteful number, since it uses less digits than its factorization.

116400069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933347 (or 12933344 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116400069 is about 10788.8863651445. The cubic root of 116400069 is about 488.2599240709.

The spelling of 116400069 in words is "one hundred sixteen million, four hundred thousand, sixty-nine".

Divisors: 1 3 9 12933341 38800023 116400069