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116049024 = 273571341
BaseRepresentation
bin1101110101011…
…00010010000000
322002100220100000
412322230102000
5214202032044
615303200000
72606254230
oct672542200
9262326300
10116049024
115a563393
1232a46000
131b072780
14115abcc0
15a2c4d69
hex6eac480

116049024 has 384 divisors, whose sum is σ = 436625280. Its totient is φ = 29859840.

The previous prime is 116049019. The next prime is 116049041. The reversal of 116049024 is 420940611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2830444 + ... + 2830484.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 2116049024 is an apocalyptic number.

116049024 is a gapful number since it is divisible by the number (14) 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 116049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218312640).

116049024 is an abundant number, since it is smaller than the sum of its proper divisors (320576256).

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

116049024 is an equidigital number, since it uses as much as digits as its factorization.

116049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116049024 is about 10772.6052559258. The cubic root of 116049024 is about 487.7685904532.

Adding to 116049024 its reverse (420940611), we get a palindrome (536989635).

The spelling of 116049024 in words is "one hundred sixteen million, forty-nine thousand, twenty-four".