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114144 = 2532941
BaseRepresentation
bin11011110111100000
312210120120
4123313200
512123034
62240240
7653532
oct336740
9183516
10114144
1178838
1256080
133cc54
142d852
1523c49
hex1bde0

114144 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 35840.

The previous prime is 114143. The next prime is 114157. The reversal of 114144 is 441411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114144.

It is not an unprimeable number, because it can be changed into a prime (114143) 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, 2764 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2114144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

114144 is an abundant number, since it is smaller than the sum of its proper divisors (203376).

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

114144 is a wasteful number, since it uses less digits than its factorization.

114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 114144 is about 337.8520386205. The cubic root of 114144 is about 48.5084833001.

Adding to 114144 its reverse (441411), we get a palindrome (555555).

The spelling of 114144 in words is "one hundred fourteen thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 82 87 96 116 123 164 174 232 246 328 348 464 492 656 696 928 984 1189 1312 1392 1968 2378 2784 3567 3936 4756 7134 9512 14268 19024 28536 38048 57072 114144