Search a number
-
+
114031020 = 223531101607
BaseRepresentation
bin1101100101111…
…11100110101100
321221120101011010
412302333212230
5213142443040
615152025220
72553150645
oct662774654
9257511133
10114031020
1159405214
1232232210
131a81709c
14112046cc
15a026e80
hex6cbf9ac

114031020 has 96 divisors (see below), whose sum is σ = 333398016. Its totient is φ = 29088000.

The previous prime is 114031009. The next prime is 114031061. The reversal of 114031020 is 20130411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 114030987 and 114031005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187557 + ... + 188163.

It is an arithmetic number, because the mean of its divisors is an integer number (3472896).

Almost surely, 2114031020 is an apocalyptic number.

114031020 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 114031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166699008).

114031020 is an abundant number, since it is smaller than the sum of its proper divisors (219366996).

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

114031020 is a wasteful number, since it uses less digits than its factorization.

114031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114031020 is about 10678.5307978205. The cubic root of 114031020 is about 484.9247341310.

Adding to 114031020 its reverse (20130411), we get a palindrome (134161431).

The spelling of 114031020 in words is "one hundred fourteen million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 101 124 155 186 202 303 310 372 404 465 505 606 607 620 930 1010 1212 1214 1515 1821 1860 2020 2428 3030 3035 3131 3642 6060 6070 6262 7284 9105 9393 12140 12524 15655 18210 18786 18817 31310 36420 37572 37634 46965 56451 61307 62620 75268 93930 94085 112902 122614 183921 187860 188170 225804 245228 282255 306535 367842 376340 564510 613070 735684 919605 1129020 1226140 1839210 1900517 3678420 3801034 5701551 7602068 9502585 11403102 19005170 22806204 28507755 38010340 57015510 114031020