Search a number
-
+
112602240 = 27325113173
BaseRepresentation
bin1101011011000…
…10110010000000
321211212210020100
412231202302000
5212311232430
615101242400
72535050262
oct655426200
9254783210
10112602240
1158619803
1231863400
131a43695a
1410d51b32
159d43960
hex6b62c80

112602240 has 192 divisors, whose sum is σ = 394538040. Its totient is φ = 29589504.

The previous prime is 112602239. The next prime is 112602247. The reversal of 112602240 is 42206211.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 30735936 = 9048^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (112602247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650794 + ... + 650966.

Almost surely, 2112602240 is an apocalyptic number.

112602240 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 112602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197269020).

112602240 is an abundant number, since it is smaller than the sum of its proper divisors (281935800).

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

112602240 is a wasteful number, since it uses less digits than its factorization.

112602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112602240 is about 10611.4202630939. The cubic root of 112602240 is about 482.8908874831.

Adding to 112602240 its reverse (42206211), we get a palindrome (154808451).

The spelling of 112602240 in words is "one hundred twelve million, six hundred two thousand, two hundred forty".