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114101664 = 2531188559
BaseRepresentation
bin1101100110100…
…00110110100000
321221200222001120
412303100312200
5213202223124
615153332240
72553563625
oct663206640
9257628046
10114101664
11594532a6
1232267080
131a8402a1
141122234c
15a03cd79
hex6cd0da0

114101664 has 24 divisors (see below), whose sum is σ = 299517120. Its totient is φ = 38033856.

The previous prime is 114101657. The next prime is 114101699. The reversal of 114101664 is 466101411.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594184 + ... + 594375.

It is an arithmetic number, because the mean of its divisors is an integer number (12479880).

Almost surely, 2114101664 is an apocalyptic number.

It is an amenable number.

114101664 is an abundant number, since it is smaller than the sum of its proper divisors (185415456).

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

114101664 is a wasteful number, since it uses less digits than its factorization.

114101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188572 (or 1188564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114101664 is about 10681.8380440821. The cubic root of 114101664 is about 485.0248529440.

The spelling of 114101664 in words is "one hundred fourteen million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1188559 2377118 3565677 4754236 7131354 9508472 14262708 19016944 28525416 38033888 57050832 114101664