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114658164 = 22323184949
BaseRepresentation
bin1101101010110…
…00101101110100
321222202020102200
412311120231310
5213323030124
615213304500
72561402235
oct665305564
9258666380
10114658164
11597a3415
1232495130
131a9a668a
141132908c
15a0ecbc9
hex6d58b74

114658164 has 18 divisors (see below), whose sum is σ = 289830450. Its totient is φ = 38219376.

The previous prime is 114658163. The next prime is 114658207. The reversal of 114658164 is 461856411.

114658164 is a `hidden beast` number, since 1 + 14 + 6 + 581 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108368100 + 6290064 = 10410^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3184949 = 114658164 / (1 + 1 + 4 + 6 + 5 + 8 + 1 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114658163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592439 + ... + 1592510.

Almost surely, 2114658164 is an apocalyptic number.

It is an amenable number.

114658164 is an abundant number, since it is smaller than the sum of its proper divisors (175172286).

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

114658164 is a wasteful number, since it uses less digits than its factorization.

114658164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184959 (or 3184954 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 114658164 is about 10707.8552474340. The cubic root of 114658164 is about 485.8121003038.

The spelling of 114658164 in words is "one hundred fourteen million, six hundred fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3184949 6369898 9554847 12739796 19109694 28664541 38219388 57329082 114658164