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116277888 = 273793833
BaseRepresentation
bin1101110111001…
…00001010000000
322002210112021110
412323210022000
5214231343023
615312123320
72611226406
oct673441200
9262715243
10116277888
115a6aa331
1232b36540
131b1229ac
141162b476
15a31ca93
hex6ee4280

116277888 has 64 divisors (see below), whose sum is σ = 312854400. Its totient is φ = 38258688.

The previous prime is 116277883. The next prime is 116277893. The reversal of 116277888 is 888772611.

It is an interprime number because it is at equal distance from previous prime (116277883) and next prime (116277893).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (116277883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28420 + ... + 32252.

It is an arithmetic number, because the mean of its divisors is an integer number (4888350).

Almost surely, 2116277888 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 116277888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156427200).

116277888 is an abundant number, since it is smaller than the sum of its proper divisors (196576512).

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

116277888 is an equidigital number, since it uses as much as digits as its factorization.

116277888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3917 counting only the distinct ones).

The product of its digits is 301056, while the sum is 48.

The square root of 116277888 is about 10783.2225239026. Note that the first 3 decimals coincide. The cubic root of 116277888 is about 488.0890279210.

The spelling of 116277888 in words is "one hundred sixteen million, two hundred seventy-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 3833 5056 7584 7666 10112 11499 15168 15332 22998 30336 30664 45996 61328 91992 122656 183984 245312 302807 367968 490624 605614 735936 908421 1211228 1471872 1816842 2422456 3633684 4844912 7267368 9689824 14534736 19379648 29069472 38759296 58138944 116277888