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116662160 = 2451785781
BaseRepresentation
bin1101111010000…
…01111110010000
322010112001101202
412331001332100
5214331142120
615324250332
72614416626
oct675017620
9263461352
10116662160
115a94200a
12330a09a8
131b228884
14116cb516
15a396875
hex6f41f90

116662160 has 40 divisors (see below), whose sum is σ = 287198136. Its totient is φ = 43919360.

The previous prime is 116662129. The next prime is 116662163. The reversal of 116662160 is 61266611.

It can be written as a sum of positive squares in 4 ways, for example, as 50922496 + 65739664 = 7136^2 + 8108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1166621603 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (116662163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41531 + ... + 44250.

Almost surely, 2116662160 is an apocalyptic number.

116662160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116662160 is an abundant number, since it is smaller than the sum of its proper divisors (170535976).

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

116662160 is a wasteful number, since it uses less digits than its factorization.

116662160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85811 (or 85805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 116662160 is about 10801.0258772026. The cubic root of 116662160 is about 488.6261111545.

The spelling of 116662160 in words is "one hundred sixteen million, six hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 85781 171562 343124 428905 686248 857810 1372496 1458277 1715620 2916554 3431240 5833108 6862480 7291385 11666216 14582770 23332432 29165540 58331080 116662160