Search a number
-
+
112694790 = 235131012861
BaseRepresentation
bin1101011011110…
…01011000000110
321212001111012010
412231321120012
5212322213130
615103235050
72535614145
oct655713006
9255044163
10112694790
115868229a
12318a8a86
131a469b10
1410d7775c
159d610b0
hex6b79606

112694790 has 64 divisors (see below), whose sum is σ = 294259392. Its totient is φ = 27456000.

The previous prime is 112694761. The next prime is 112694797. The reversal of 112694790 is 97496211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112694797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37960 + ... + 40820.

It is an arithmetic number, because the mean of its divisors is an integer number (4597803).

Almost surely, 2112694790 is an apocalyptic number.

112694790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112694790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147129696).

112694790 is an abundant number, since it is smaller than the sum of its proper divisors (181564602).

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

112694790 is a wasteful number, since it uses less digits than its factorization.

112694790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 112694790 is about 10615.7802351028. The cubic root of 112694790 is about 483.0231504320.

The spelling of 112694790 in words is "one hundred twelve million, six hundred ninety-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 2861 3030 3939 5722 6565 7878 8583 13130 14305 17166 19695 28610 37193 39390 42915 74386 85830 111579 185965 223158 288961 371930 557895 577922 866883 1115790 1444805 1733766 2889610 3756493 4334415 7512986 8668830 11269479 18782465 22538958 37564930 56347395 112694790