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116899200 = 2734521141
BaseRepresentation
bin1101111011110…
…11110110000000
322010222002120000
412331323312000
5214411233300
615333320000
72616424665
oct675736600
9263862500
10116899200
115aa94110
1233196000
131b2ac732
141174da6c
15a3e1c00
hex6f7bd80

116899200 has 480 divisors, whose sum is σ = 482078520. Its totient is φ = 27648000.

The previous prime is 116899193. The next prime is 116899201. The reversal of 116899200 is 2998611.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116899201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2851180 + ... + 2851220.

Almost surely, 2116899200 is an apocalyptic number.

116899200 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 116899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241039260).

116899200 is an abundant number, since it is smaller than the sum of its proper divisors (365179320).

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

116899200 is a wasteful number, since it uses less digits than its factorization.

116899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 116899200 is about 10811.9933407305. The cubic root of 116899200 is about 488.9568255758.

The spelling of 116899200 in words is "one hundred sixteen million, eight hundred ninety-nine thousand, two hundred".