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114680 = 2354761
BaseRepresentation
bin11011111111111000
312211022102
4123333320
512132210
62242532
7655226
oct337770
9184272
10114680
1179185
1256448
1340277
142db16
1523ea5
hex1bff8

114680 has 32 divisors (see below), whose sum is σ = 267840. Its totient is φ = 44160.

The previous prime is 114679. The next prime is 114689. The reversal of 114680 is 86411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1850 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2114680 is an apocalyptic number.

114680 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 114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

114680 is an abundant number, since it is smaller than the sum of its proper divisors (153160).

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

114680 is a wasteful number, since it uses less digits than its factorization.

114680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 114680 is about 338.6443562205. The cubic root of 114680 is about 48.5842938403.

The spelling of 114680 in words is "one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1880 2440 2867 5734 11468 14335 22936 28670 57340 114680