Search a number
-
+
112162416 = 2435344089
BaseRepresentation
bin1101010111101…
…11011001110000
321211001102220120
412223313121300
5212203144131
615044010240
72531236062
oct653673160
9254042816
10112162416
1158349313
1231690980
131a3116c2
1410c79732
159ca8496
hex6af7670

112162416 has 40 divisors (see below), whose sum is σ = 295226640. Its totient is φ = 36681216.

The previous prime is 112162411. The next prime is 112162423. The reversal of 112162416 is 614261211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112162411) 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, 19501 + ... + 24588.

It is an arithmetic number, because the mean of its divisors is an integer number (7380666).

Almost surely, 2112162416 is an apocalyptic number.

112162416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112162416 is an abundant number, since it is smaller than the sum of its proper divisors (183064224).

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

112162416 is a wasteful number, since it uses less digits than its factorization.

112162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44153 (or 44147 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 112162416 is about 10590.6758991105. The cubic root of 112162416 is about 482.2613436689.

The spelling of 112162416 in words is "one hundred twelve million, one hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 44089 88178 132267 176356 264534 352712 529068 705424 1058136 2116272 2336717 4673434 7010151 9346868 14020302 18693736 28040604 37387472 56081208 112162416