Search a number
-
+
114110260 = 22511261773
BaseRepresentation
bin1101100110100…
…10111100110100
321221201101211221
412303102330310
5213203012020
615153440124
72553630655
oct663227464
9257641757
10114110260
1159459800
1232270044
131a844184
141122552c
15a0406aa
hex6cd2f34

114110260 has 72 divisors (see below), whose sum is σ = 268060968. Its totient is φ = 40761600.

The previous prime is 114110251. The next prime is 114110299. The reversal of 114110260 is 62011411.

It can be written as a sum of positive squares in 4 ways, for example, as 6739216 + 107371044 = 2596^2 + 10362^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147234 + ... + 148006.

It is an arithmetic number, because the mean of its divisors is an integer number (3723069).

Almost surely, 2114110260 is an apocalyptic number.

114110260 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 114110260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134030484).

114110260 is an abundant number, since it is smaller than the sum of its proper divisors (153950708).

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

114110260 is a wasteful number, since it uses less digits than its factorization.

114110260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 114110260 is about 10682.2404017135. The cubic root of 114110260 is about 485.0370326348.

Adding to 114110260 its reverse (62011411), we get a palindrome (176121671).

The spelling of 114110260 in words is "one hundred fourteen million, one hundred ten thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 773 1210 1220 1342 1546 2420 2684 3092 3355 3865 6710 7381 7730 8503 13420 14762 15460 17006 29524 34012 36905 42515 47153 73810 85030 93533 94306 147620 170060 187066 188612 235765 374132 467665 471530 518683 935330 943060 1037366 1870660 2074732 2593415 5186830 5705513 10373660 11411026 22822052 28527565 57055130 114110260