Search a number
-
+
113232438 = 233111979127
BaseRepresentation
bin1101011111111…
…00101000110110
321220001210201000
412233330220312
5212441414223
615122544130
72543313504
oct657745066
9256053630
10113232438
1158a0a230
1231b08046
131a5c7757
1411077674
159e1a543
hex6bfca36

113232438 has 128 divisors (see below), whose sum is σ = 294912000. Its totient is φ = 31842720.

The previous prime is 113232437. The next prime is 113232439. The reversal of 113232438 is 834232311.

It is an interprime number because it is at equal distance from previous prime (113232437) and next prime (113232439).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113232437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 891531 + ... + 891657.

It is an arithmetic number, because the mean of its divisors is an integer number (2304000).

Almost surely, 2113232438 is an apocalyptic number.

113232438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113232438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456000).

113232438 is an abundant number, since it is smaller than the sum of its proper divisors (181679562).

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

113232438 is a wasteful number, since it uses less digits than its factorization.

113232438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113232438 is about 10641.0731601658. The cubic root of 113232438 is about 483.7900729979.

Adding to 113232438 its reverse (834232311), we get a palindrome (947464749).

The spelling of 113232438 in words is "one hundred thirteen million, two hundred thirty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 79 99 114 127 158 171 198 209 237 254 297 342 381 418 474 513 594 627 711 762 869 1026 1143 1254 1397 1422 1501 1738 1881 2133 2286 2413 2607 2794 3002 3429 3762 4191 4266 4503 4826 5214 5643 6858 7239 7821 8382 9006 10033 11286 12573 13509 14478 15642 16511 20066 21717 23463 25146 26543 27018 30099 33022 37719 40527 43434 46926 49533 53086 60198 65151 75438 79629 81054 90297 99066 110363 130302 148599 159258 180594 190627 220726 238887 270891 297198 331089 381254 445797 477774 541782 571881 662178 716661 891594 993267 1143762 1433322 1715643 1986534 2096897 2979801 3431286 4193794 5146929 5959602 6290691 10293858 12581382 18872073 37744146 56616219 113232438