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114744 = 2337683
BaseRepresentation
bin11100000000111000
312211101210
4130000320
512132434
62243120
7655350
oct340070
9184353
10114744
1179233
12564a0
13402c6
142db60
1523ee9
hex1c038

114744 has 32 divisors (see below), whose sum is σ = 328320. Its totient is φ = 32736.

The previous prime is 114743. The next prime is 114749. The reversal of 114744 is 447411.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 114744.

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 114744.

It is not an unprimeable number, because it can be changed into a prime (114743) 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, 174 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2114744 is an apocalyptic number.

114744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114744 is an abundant number, since it is smaller than the sum of its proper divisors (213576).

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

114744 is a wasteful number, since it uses less digits than its factorization.

114744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 114744 is about 338.7388374545. The cubic root of 114744 is about 48.5933300471.

It can be divided in two parts, 114 and 744, that added together give a palindrome (858).

The spelling of 114744 in words is "one hundred fourteen thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 683 1366 2049 2732 4098 4781 5464 8196 9562 14343 16392 19124 28686 38248 57372 114744