Search a number
-
+
112274528 = 25171791153
BaseRepresentation
bin1101011000100…
…10110001100000
321211021010200212
412230102301200
5212220241103
615050233252
72532213662
oct654226140
9254233625
10112274528
1158415573
1231725828
131a350742
1410ca8532
159ccb7d8
hex6b12c60

112274528 has 48 divisors (see below), whose sum is σ = 235554480. Its totient is φ = 52494336.

The previous prime is 112274527. The next prime is 112274531. The reversal of 112274528 is 825472211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 112274494 and 112274503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112274521) 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 7 ways as a sum of consecutive naturals, for example, 96800 + ... + 97952.

It is an arithmetic number, because the mean of its divisors is an integer number (4907385).

Almost surely, 2112274528 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 112274528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117777240).

112274528 is an abundant number, since it is smaller than the sum of its proper divisors (123279952).

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

112274528 is a wasteful number, since it uses less digits than its factorization.

112274528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 112274528 is about 10595.9675348691. The cubic root of 112274528 is about 482.4219716860.

The spelling of 112274528 in words is "one hundred twelve million, two hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 179 272 358 544 716 1153 1432 2306 2864 3043 4612 5728 6086 9224 12172 18448 19601 24344 36896 39202 48688 78404 97376 156808 206387 313616 412774 627232 825548 1651096 3302192 3508579 6604384 7017158 14034316 28068632 56137264 112274528