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116488000 = 265314561
BaseRepresentation
bin1101111000101…
…11011101000000
322010012012111101
412330113131000
5214310104000
615320424144
72613063106
oct674273500
9263165441
10116488000
115a833182
1233018054
131b197515
1411683c76
15a35ee6a
hex6f17740

116488000 has 56 divisors (see below), whose sum is σ = 288502344. Its totient is φ = 46592000.

The previous prime is 116487947. The next prime is 116488003. The reversal of 116488000 is 884611.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 116467264 = 144^2 + 10792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116488000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116488003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 15280.

Almost surely, 2116488000 is an apocalyptic number.

116488000 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 116488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144251172).

116488000 is an abundant number, since it is smaller than the sum of its proper divisors (172014344).

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

116488000 is an equidigital number, since it uses as much as digits as its factorization.

116488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 116488000 is about 10792.9606688804. The cubic root of 116488000 is about 488.3828403126.

The spelling of 116488000 in words is "one hundred sixteen million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 14561 29122 58244 72805 116488 145610 232976 291220 364025 465952 582440 728050 931904 1164880 1456100 1820125 2329760 2912200 3640250 4659520 5824400 7280500 11648800 14561000 23297600 29122000 58244000 116488000