Search a number
-
+
114411612 = 22372967701
BaseRepresentation
bin1101101000111…
…00100001011100
321222021201020010
412310130201130
5213242132422
615204123220
72556324360
oct664344134
9258251203
10114411612
1159645157
1232396510
131a91b3a3
14112a32a0
15a09eb0c
hex6d1c85c

114411612 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 31046400.

The previous prime is 114411611. The next prime is 114411631. The reversal of 114411612 is 216114411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114411611) 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 31 ways as a sum of consecutive naturals, for example, 162862 + ... + 163562.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2114411612 is an apocalyptic number.

114411612 is a gapful number since it is divisible by the number (12) 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 114411612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

114411612 is an abundant number, since it is smaller than the sum of its proper divisors (206374308).

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

114411612 is a wasteful number, since it uses less digits than its factorization.

114411612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 114411612 is about 10696.3363821451. The cubic root of 114411612 is about 485.4636328907.

The spelling of 114411612 in words is "one hundred fourteen million, four hundred eleven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 67 84 87 116 134 174 201 203 268 348 402 406 469 609 701 804 812 938 1218 1402 1407 1876 1943 2103 2436 2804 2814 3886 4206 4907 5628 5829 7772 8412 9814 11658 13601 14721 19628 20329 23316 27202 29442 40658 40803 46967 54404 58884 60987 81316 81606 93934 121974 140901 142303 163212 187868 243948 281802 284606 328769 426909 563604 569212 657538 853818 986307 1315076 1362043 1707636 1972614 2724086 3945228 4086129 5448172 8172258 9534301 16344516 19068602 28602903 38137204 57205806 114411612