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116006784 = 273317953
BaseRepresentation
bin1101110101000…
…01111110000000
322002021202101120
412322201332000
5214144204114
615302232240
72606020125
oct672417600
9262252346
10116006784
115a534683
1232a25680
131b05948a
141159a74c
15a2b75a9
hex6ea1f80

116006784 has 64 divisors (see below), whose sum is σ = 309439440. Its totient is φ = 38506496.

The previous prime is 116006777. The next prime is 116006797. The reversal of 116006784 is 487600611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 congruent number.

It is an unprimeable number.

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, 121252 + ... + 122204.

Almost surely, 2116006784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154719720).

116006784 is an abundant number, since it is smaller than the sum of its proper divisors (193432656).

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

116006784 is an equidigital number, since it uses as much as digits as its factorization.

116006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 116006784 is about 10770.6445489581. The cubic root of 116006784 is about 487.7094032671.

The spelling of 116006784 in words is "one hundred sixteen million, six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 317 384 634 951 953 1268 1902 1906 2536 2859 3804 3812 5072 5718 7608 7624 10144 11436 15216 15248 20288 22872 30432 30496 40576 45744 60864 60992 91488 121728 121984 182976 302101 365952 604202 906303 1208404 1812606 2416808 3625212 4833616 7250424 9667232 14500848 19334464 29001696 38668928 58003392 116006784