Search a number
-
+
112338360 = 23335414359
BaseRepresentation
bin1101011001000…
…10010110111000
321211101101021000
412230202112320
5212224311420
615051445000
72532601041
oct654422670
9254341230
10112338360
1158459522
1231756760
131a373804
1410cc38c8
159ce0690
hex6b225b8

112338360 has 256 divisors, whose sum is σ = 399168000. Its totient is φ = 28062720.

The previous prime is 112338349. The next prime is 112338409. The reversal of 112338360 is 63833211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1904011 + ... + 1904069.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2112338360 is an apocalyptic number.

112338360 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 112338360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

112338360 is an abundant number, since it is smaller than the sum of its proper divisors (286829640).

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

112338360 is a wasteful number, since it uses less digits than its factorization.

112338360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 112338360 is about 10598.9791961302. The cubic root of 112338360 is about 482.5133789591.

The spelling of 112338360 in words is "one hundred twelve million, three hundred thirty-eight thousand, three hundred sixty".