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116691120 = 243257132137
BaseRepresentation
bin1101111010010…
…01000010110000
322010120112010100
412331021002300
5214333103440
615325032400
72614600230
oct675110260
9263515110
10116691120
115a961847
12330b5700
131b238b00
14116d7cc0
15a3a0230
hex6f490b0

116691120 has 360 divisors, whose sum is σ = 488513376. Its totient is φ = 24440832.

The previous prime is 116691119. The next prime is 116691143. The reversal of 116691120 is 21196611.

116691120 = T43 + T44 + ... + T887.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851692 + ... + 851828.

Almost surely, 2116691120 is an apocalyptic number.

116691120 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 116691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244256688).

116691120 is an abundant number, since it is smaller than the sum of its proper divisors (371822256).

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

116691120 is a wasteful number, since it uses less digits than its factorization.

116691120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116691120 is about 10802.3664074128. The cubic root of 116691120 is about 488.6665396917. Note that the first 3 decimals are identical.

The spelling of 116691120 in words is "one hundred sixteen million, six hundred ninety-one thousand, one hundred twenty".