Search a number
-
+
113041320 = 23357235851
BaseRepresentation
bin1101011110011…
…01111110101000
321212201002112120
412233031332220
5212414310240
615114511240
72541556350
oct657157650
9255632476
10113041320
1158899687
1231a35520
131a55b772
1411027b60
159dcdad0
hex6bcdfa8

113041320 has 128 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 24710400.

The previous prime is 113041267. The next prime is 113041363. The reversal of 113041320 is 23140311.

It is a super-3 number, since 3×1130413203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113041320.

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, 16395 + ... + 22245.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2113041320 is an apocalyptic number.

113041320 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 113041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

113041320 is an abundant number, since it is smaller than the sum of its proper divisors (291448920).

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

113041320 is a wasteful number, since it uses less digits than its factorization.

113041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113041320 is about 10632.0891644117. The cubic root of 113041320 is about 483.5177333122.

Adding to 113041320 its reverse (23140311), we get a palindrome (136181631).

The spelling of 113041320 in words is "one hundred thirteen million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 5851 6440 9660 11702 17553 19320 23404 29255 35106 40957 46808 58510 70212 81914 87765 117020 122871 134573 140424 163828 175530 204785 234040 245742 269146 327656 351060 403719 409570 491484 538292 614355 672865 702120 807438 819140 942011 982968 1076584 1228710 1345730 1614876 1638280 1884022 2018595 2457420 2691460 2826033 3229752 3768044 4037190 4710055 4914840 5382920 5652066 7536088 8074380 9420110 11304132 14130165 16148760 18840220 22608264 28260330 37680440 56520660 113041320