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116371200 = 28352111929
BaseRepresentation
bin1101110111110…
…10111100000000
322002222021021110
412323322330000
5214242334300
615314123320
72612065431
oct673727400
9262867243
10116371200
115a763450
1232b80540
131b1562ca
1411653488
15a33a550
hex6efaf00

116371200 has 432 divisors, whose sum is σ = 456220800. Its totient is φ = 25804800.

The previous prime is 116371193. The next prime is 116371207. The reversal of 116371200 is 2173611.

It is an interprime number because it is at equal distance from previous prime (116371193) and next prime (116371207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116371207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012786 + ... + 4012814.

Almost surely, 2116371200 is an apocalyptic number.

116371200 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 116371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

116371200 is an abundant number, since it is smaller than the sum of its proper divisors (339849600).

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

116371200 is a wasteful number, since it uses less digits than its factorization.

116371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 116371200 is about 10787.5483776436. The cubic root of 116371200 is about 488.2195554201.

The spelling of 116371200 in words is "one hundred sixteen million, three hundred seventy-one thousand, two hundred".