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116432505 = 3357123209
BaseRepresentation
bin1101111000010…
…01111001111001
322010002101101000
412330021321321
5214301320010
615315315213
72612442240
oct674117171
9263071330
10116432505
115a7a5512
1232babb09
131b178197
141166b957
15a34d7c0
hex6f09e79

116432505 has 32 divisors (see below), whose sum is σ = 236563200. Its totient is φ = 53225856.

The previous prime is 116432501. The next prime is 116432527. The reversal of 116432505 is 505234611.

116432505 is a `hidden beast` number, since 11 + 643 + 2 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 116432505 - 22 = 116432501 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (116432501) 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, 60660 + ... + 62549.

It is an arithmetic number, because the mean of its divisors is an integer number (7392600).

Almost surely, 2116432505 is an apocalyptic number.

116432505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116432505 is an abundant number, since it is smaller than the sum of its proper divisors (120130695).

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

116432505 is a wasteful number, since it uses less digits than its factorization.

116432505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123230 (or 123224 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 116432505 is about 10790.3894739717. The cubic root of 116432505 is about 488.3052726353.

The spelling of 116432505 in words is "one hundred sixteen million, four hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 123209 369627 616045 862463 1108881 1848135 2587389 3326643 4312315 5544405 7762167 12936945 16633215 23286501 38810835 116432505