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116781120 = 26325234143
BaseRepresentation
bin1101111010111…
…11000001000000
322010202002120200
412331133001000
5214343443440
615331005200
72615423511
oct675370100
9263662520
10116781120
115aa13425
1233139800
131b26aa71
141171ca08
15a3bbc30
hex6f5f040

116781120 has 336 divisors, whose sum is σ = 439350912. Its totient is φ = 28385280.

The previous prime is 116781107. The next prime is 116781127. The reversal of 116781120 is 21187611.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116781127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715819 + ... + 2715861.

It is an arithmetic number, because the mean of its divisors is an integer number (1307592).

Almost surely, 2116781120 is an apocalyptic number.

116781120 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 116781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

116781120 is an abundant number, since it is smaller than the sum of its proper divisors (322569792).

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

116781120 is a wasteful number, since it uses less digits than its factorization.

116781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

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

The square root of 116781120 is about 10806.5313583962. The cubic root of 116781120 is about 488.7921381853.

The spelling of 116781120 in words is "one hundred sixteen million, seven hundred eighty-one thousand, one hundred twenty".