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114492 = 22372947
BaseRepresentation
bin11011111100111100
312211001110
4123330330
512130432
62242020
7654540
oct337474
9184043
10114492
1179024
1256310
1340161
142da20
1523dcc
hex1bf3c

114492 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 30912.

The previous prime is 114487. The next prime is 114493. The reversal of 114492 is 294411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114493) 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, 2413 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2114492 is an apocalyptic number.

114492 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 114492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

114492 is an abundant number, since it is smaller than the sum of its proper divisors (208068).

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

114492 is a wasteful number, since it uses less digits than its factorization.

114492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 114492 is about 338.3666650248. The cubic root of 114492 is about 48.5577305251.

It can be divided in two parts, 114 and 492, that added together give a palindrome (606).

The spelling of 114492 in words is "one hundred fourteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1218 1316 1363 1974 2436 2726 3948 4089 5452 8178 9541 16356 19082 28623 38164 57246 114492