Search a number
-
+
112413132 = 223213401599
BaseRepresentation
bin1101011001101…
…00100111001100
321211112011211100
412230310213030
5212234210012
615053223100
72533332036
oct654644714
9254464740
10112413132
11584aa717
1231791a90
131a39b860
1410d02c56
159d078dc
hex6b349cc

112413132 has 72 divisors (see below), whose sum is σ = 307288800. Its totient is φ = 34444800.

The previous prime is 112413109. The next prime is 112413149. The reversal of 112413132 is 231314211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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, 187369 + ... + 187967.

It is an arithmetic number, because the mean of its divisors is an integer number (4267900).

Almost surely, 2112413132 is an apocalyptic number.

112413132 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 112413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153644400).

112413132 is an abundant number, since it is smaller than the sum of its proper divisors (194875668).

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

112413132 is a wasteful number, since it uses less digits than its factorization.

112413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1018 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112413132 is about 10602.5059302035. The cubic root of 112413132 is about 482.6204082611.

Adding to 112413132 its reverse (231314211), we get a palindrome (343727343).

The spelling of 112413132 in words is "one hundred twelve million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 599 802 1198 1203 1604 1797 2396 2406 3594 3609 4812 5213 5391 7188 7218 7787 10426 10782 14436 15574 15639 20852 21564 23361 31148 31278 46722 46917 62556 70083 93444 93834 140166 187668 240199 280332 480398 720597 960796 1441194 2161791 2882388 3122587 4323582 6245174 8647164 9367761 12490348 18735522 28103283 37471044 56206566 112413132