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116612736 = 273303679
BaseRepresentation
bin1101111001101…
…01111010000000
322010102112121020
412330311322000
5214323101421
615323225440
72614122552
oct674657200
9263375536
10116612736
115a908969
1233078280
131b20c226
14116b74d2
15a386dc6
hex6f35e80

116612736 has 32 divisors (see below), whose sum is σ = 309753600. Its totient is φ = 38870784.

The previous prime is 116612719. The next prime is 116612753. The reversal of 116612736 is 637216611.

It is an interprime number because it is at equal distance from previous prime (116612719) and next prime (116612753).

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116612697 and 116612706.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151456 + ... + 152223.

It is an arithmetic number, because the mean of its divisors is an integer number (9679800).

Almost surely, 2116612736 is an apocalyptic number.

116612736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116612736 is an abundant number, since it is smaller than the sum of its proper divisors (193140864).

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

116612736 is an equidigital number, since it uses as much as digits as its factorization.

116612736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303696 (or 303684 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 116612736 is about 10798.7377040097. The cubic root of 116612736 is about 488.5570991513.

The spelling of 116612736 in words is "one hundred sixteen million, six hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 303679 607358 911037 1214716 1822074 2429432 3644148 4858864 7288296 9717728 14576592 19435456 29153184 38870912 58306368 116612736