Search a number
-
+
114187860 = 223351032053
BaseRepresentation
bin1101100111001…
…01111001010100
321221212100022000
412303211321110
5213213002420
615155235300
72554403133
oct663457124
9257770260
10114187860
1159502036
12322a8b30
131a8705a7
141124591a
15a058690
hex6ce5e54

114187860 has 96 divisors (see below), whose sum is σ = 358874880. Its totient is φ = 30139776.

The previous prime is 114187837. The next prime is 114187867. The reversal of 114187860 is 68781411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114187867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54594 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (3738280).

Almost surely, 2114187860 is an apocalyptic number.

114187860 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 114187860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179437440).

114187860 is an abundant number, since it is smaller than the sum of its proper divisors (244687020).

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

114187860 is a wasteful number, since it uses less digits than its factorization.

114187860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 114187860 is about 10685.8719812657. The cubic root of 114187860 is about 485.1469565654.

The spelling of 114187860 in words is "one hundred fourteen million, one hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2053 2060 2781 3090 3708 4106 4635 5562 6159 6180 8212 9270 10265 11124 12318 13905 18477 18540 20530 24636 27810 30795 36954 41060 55431 55620 61590 73908 92385 110862 123180 184770 211459 221724 277155 369540 422918 554310 634377 845836 1057295 1108620 1268754 1903131 2114590 2537508 3171885 3806262 4229180 5709393 6343770 7612524 9515655 11418786 12687540 19031310 22837572 28546965 38062620 57093930 114187860