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112541344 = 2529173701
BaseRepresentation
bin1101011010100…
…11111010100000
321211202200200221
412231103322200
5212302310334
615100052424
72534404606
oct655237240
9254680627
10112541344
1158587a83
1231834114
131a415016
1410d37876
159d308b4
hex6b53ea0

112541344 has 48 divisors (see below), whose sum is σ = 230859720. Its totient is φ = 53939200.

The previous prime is 112541329. The next prime is 112541347. The reversal of 112541344 is 443145211.

It can be written as a sum of positive squares in 4 ways, for example, as 112105744 + 435600 = 10588^2 + 660^2 .

It is not an unprimeable number, because it can be changed into a prime (112541347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160194 + ... + 160894.

Almost surely, 2112541344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115429860).

112541344 is an abundant number, since it is smaller than the sum of its proper divisors (118318376).

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

112541344 is a wasteful number, since it uses less digits than its factorization.

112541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 112541344 is about 10608.5505136187. The cubic root of 112541344 is about 482.8038216424.

Adding to 112541344 its reverse (443145211), we get a palindrome (555686555).

The spelling of 112541344 in words is "one hundred twelve million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 173 232 346 464 692 701 928 1384 1402 2768 2804 5017 5536 5608 10034 11216 20068 20329 22432 40136 40658 80272 81316 121273 160544 162632 242546 325264 485092 650528 970184 1940368 3516917 3880736 7033834 14067668 28135336 56270672 112541344