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116478432 = 2533719259
BaseRepresentation
bin1101111000101…
…01000111100000
322010011201101000
412330111013200
5214304302212
615320312000
72613023160
oct674250740
9263151330
10116478432
115a826a74
1233012600
131b193065
14116805a0
15a35c1dc
hex6f151e0

116478432 has 96 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 33277824.

The previous prime is 116478421. The next prime is 116478437. The reversal of 116478432 is 234874611.

116478432 is a `hidden beast` number, since 1 + 1 + 647 + 8 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116478437) 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 15 ways as a sum of consecutive naturals, for example, 3582 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (4044600).

Almost surely, 2116478432 is an apocalyptic number.

116478432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116478432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

116478432 is an abundant number, since it is smaller than the sum of its proper divisors (271803168).

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

116478432 is a wasteful number, since it uses less digits than its factorization.

116478432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19285 (or 19271 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 116478432 is about 10792.5174079081. The cubic root of 116478432 is about 488.3694684776.

The spelling of 116478432 in words is "one hundred sixteen million, four hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 19259 38518 57777 77036 115554 134813 154072 173331 231108 269626 308144 346662 404439 462216 519993 539252 616288 693324 808878 924432 1039986 1078504 1213317 1386648 1617756 1848864 2079972 2157008 2426634 2773296 3235512 3639951 4159944 4314016 4853268 5546592 6471024 7279902 8319888 9706536 12942048 14559804 16639776 19413072 29119608 38826144 58239216 116478432