Search a number
-
+
114660 = 223257213
BaseRepresentation
bin11011111111100100
312211021200
4123333210
512132120
62242500
7655200
oct337744
9184250
10114660
1179167
1256430
1340260
142db00
1523e90
hex1bfe4

114660 has 108 divisors (see below), whose sum is σ = 435708. Its totient is φ = 24192.

The previous prime is 114659. The next prime is 114661. The reversal of 114660 is 66411.

114660 is a `hidden beast` number, since 1 + 1 + 4 + 660 = 666.

It is an interprime number because it is at equal distance from previous prime (114659) and next prime (114661).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 86436 = 168^2 + 294^2 .

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

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8814 + ... + 8826.

2114660 is an apocalyptic number.

114660 is a gapful number since it is divisible by the number (10) 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 114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854).

114660 is an abundant number, since it is smaller than the sum of its proper divisors (321048).

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

114660 is a wasteful number, since it uses less digits than its factorization.

114660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114660 is about 338.6148254285. The cubic root of 114660 is about 48.5814693363.

The spelling of 114660 in words is "one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 49 52 60 63 65 70 78 84 90 91 98 105 117 126 130 140 147 156 180 182 195 196 210 234 245 252 260 273 294 315 364 390 420 441 455 468 490 546 585 588 630 637 735 780 819 882 910 980 1092 1170 1260 1274 1365 1470 1638 1764 1820 1911 2205 2340 2548 2730 2940 3185 3276 3822 4095 4410 5460 5733 6370 7644 8190 8820 9555 11466 12740 16380 19110 22932 28665 38220 57330 114660