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116006496 = 2532941669
BaseRepresentation
bin1101110101000…
…01111001100000
322002021201222220
412322201321200
5214144201441
615302231040
72606016234
oct672417140
9262251886
10116006496
115a534441
1232a25480
131b0592c8
141159a5c4
15a2b7466
hex6ea1e60

116006496 has 48 divisors (see below), whose sum is σ = 315025200. Its totient is φ = 37334528.

The previous prime is 116006491. The next prime is 116006509. The reversal of 116006496 is 694600611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1160064962 = 26915014228396032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116006491) 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, 18051 + ... + 23618.

It is an arithmetic number, because the mean of its divisors is an integer number (6563025).

Almost surely, 2116006496 is an apocalyptic number.

116006496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116006496 is an abundant number, since it is smaller than the sum of its proper divisors (199018704).

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

116006496 is a wasteful number, since it uses less digits than its factorization.

116006496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41711 (or 41703 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 116006496 is about 10770.6311792764. The cubic root of 116006496 is about 487.7089996688.

The spelling of 116006496 in words is "one hundred sixteen million, six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 41669 83338 125007 166676 250014 333352 500028 666704 1000056 1208401 1333408 2000112 2416802 3625203 4000224 4833604 7250406 9667208 14500812 19334416 29001624 38668832 58003248 116006496