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116216832 = 210337831
BaseRepresentation
bin1101110110101…
…01010000000000
322002200102112010
412323111100000
5214222414312
615310532520
72610553404
oct673252000
9262612463
10116216832
115a668476
1232b07140
131b100c74
1411613104
15a30993c
hex6ed5400

116216832 has 44 divisors (see below), whose sum is σ = 309768416. Its totient is φ = 38737920.

The previous prime is 116216797. The next prime is 116216839. The reversal of 116216832 is 238612611.

It is a super-3 number, since 3×1162168323 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116216832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116216839) 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 3 ways as a sum of consecutive naturals, for example, 15844 + ... + 21987.

Almost surely, 2116216832 is an apocalyptic number.

116216832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116216832 is an abundant number, since it is smaller than the sum of its proper divisors (193551584).

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

116216832 is an equidigital number, since it uses as much as digits as its factorization.

116216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37854 (or 37836 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 116216832 is about 10780.3910875255. The cubic root of 116216832 is about 488.0035832398.

The spelling of 116216832 in words is "one hundred sixteen million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 37831 75662 113493 151324 226986 302648 453972 605296 907944 1210592 1815888 2421184 3631776 4842368 7263552 9684736 14527104 19369472 29054208 38738944 58108416 116216832