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114372 = 2234353
BaseRepresentation
bin11011111011000100
312210220000
4123323010
512124442
62241300
7654306
oct337304
9183800
10114372
1178a25
1256230
134009b
142d976
1523d4c
hex1bec4

114372 has 30 divisors (see below), whose sum is σ = 299838. Its totient is φ = 38016.

The previous prime is 114371. The next prime is 114377. The reversal of 114372 is 273411.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 20736 = 306^2 + 144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 148 + ... + 500.

2114372 is an apocalyptic number.

114372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149919).

114372 is an abundant number, since it is smaller than the sum of its proper divisors (185466).

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

114372 is a wasteful number, since it uses less digits than its factorization.

114372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 114372 is about 338.1892961050. The cubic root of 114372 is about 48.5407600102.

Adding to 114372 its reverse (273411), we get a palindrome (387783).

The spelling of 114372 in words is "one hundred fourteen thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 28593 38124 57186 114372