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114661040 = 24513110251
BaseRepresentation
bin1101101010110…
…01011010110000
321222202101101012
412311121122300
5213323123130
615213330052
72561413514
oct665313260
9258671335
10114661040
11597a559a
1232496928
131a9a7a90
141132a144
15a0ed995
hex6d596b0

114661040 has 40 divisors (see below), whose sum is σ = 287096208. Its totient is φ = 42336000.

The previous prime is 114661021. The next prime is 114661117. The reversal of 114661040 is 40166411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114660997 and 114661015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54086 + ... + 56165.

Almost surely, 2114661040 is an apocalyptic number.

114661040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114661040 is an abundant number, since it is smaller than the sum of its proper divisors (172435168).

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

114661040 is a wasteful number, since it uses less digits than its factorization.

114661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110277 (or 110271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114661040 is about 10707.9895405253. The cubic root of 114661040 is about 485.8161621861.

The spelling of 114661040 in words is "one hundred fourteen million, six hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 110251 220502 441004 551255 882008 1102510 1433263 1764016 2205020 2866526 4410040 5733052 7166315 8820080 11466104 14332630 22932208 28665260 57330520 114661040