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116259000 = 233531113271
BaseRepresentation
bin1101110110111…
…11100010111000
322002202120100220
412323133202320
5214230242000
615311500040
72611120344
oct673374270
9262676326
10116259000
115a697120
1232b27620
131b117210
1411624624
15a3171a0
hex6edf8b8

116259000 has 256 divisors, whose sum is σ = 427714560. Its totient is φ = 25920000.

The previous prime is 116258993. The next prime is 116259001. The reversal of 116259000 is 952611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116259001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428865 + ... + 429135.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2116259000 is an apocalyptic number.

116259000 is a gapful number since it is divisible by the number (10) 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 116259000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

116259000 is an abundant number, since it is smaller than the sum of its proper divisors (311455560).

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

116259000 is a wasteful number, since it uses less digits than its factorization.

116259000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 116259000 is about 10782.3466833524. The cubic root of 116259000 is about 488.0625983480.

The spelling of 116259000 in words is "one hundred sixteen million, two hundred fifty-nine thousand".