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116817120 = 2533573863
BaseRepresentation
bin1101111011001…
…11110011100000
322010210220222000
412331213303200
5214401121440
615331444000
72615633460
oct675476340
9263726860
10116817120
115aa38482
1233156600
131b281274
141172bba0
15a3c7730
hex6f67ce0

116817120 has 192 divisors, whose sum is σ = 467389440. Its totient is φ = 26694144.

The previous prime is 116817119. The next prime is 116817121. The reversal of 116817120 is 21718611.

It is an interprime number because it is at equal distance from previous prime (116817119) and next prime (116817121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116817121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28309 + ... + 32171.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2116817120 is an apocalyptic number.

116817120 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 116817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233694720).

116817120 is an abundant number, since it is smaller than the sum of its proper divisors (350572320).

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

116817120 is a wasteful number, since it uses less digits than its factorization.

116817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 116817120 is about 10808.1968893983. The cubic root of 116817120 is about 488.8423595142.

The spelling of 116817120 in words is "one hundred sixteen million, eight hundred seventeen thousand, one hundred twenty".