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114642 = 23311193
BaseRepresentation
bin11011111111010010
312211021000
4123333102
512132032
62242430
7655143
oct337722
9184230
10114642
1179150
1256416
1340248
142daca
1523e7c
hex1bfd2

114642 has 32 divisors (see below), whose sum is σ = 279360. Its totient is φ = 34560.

The previous prime is 114641. The next prime is 114643. The reversal of 114642 is 246411.

It is an interprime number because it is at equal distance from previous prime (114641) and next prime (114643).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2114642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139680).

114642 is an abundant number, since it is smaller than the sum of its proper divisors (164718).

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

114642 is a wasteful number, since it uses less digits than its factorization.

114642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 114642 is about 338.5882455136. The cubic root of 114642 is about 48.5789270018.

Subtracting 114642 from its reverse (246411), we obtain a square (131769 = 3632).

The spelling of 114642 in words is "one hundred fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 297 386 579 594 1158 1737 2123 3474 4246 5211 6369 10422 12738 19107 38214 57321 114642