Search a number
-
+
112541052 = 223131315507
BaseRepresentation
bin1101011010100…
…11110101111100
321211202200022010
412231103311330
5212302303202
615100051220
72534404011
oct655236574
9254680263
10112541052
1158587838
1231833b10
131a414b50
1410d37708
159d3076c
hex6b53d7c

112541052 has 48 divisors (see below), whose sum is σ = 285005952. Its totient is φ = 34357440.

The previous prime is 112541027. The next prime is 112541089. The reversal of 112541052 is 250145211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17683 + ... + 23189.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2112541052 is an apocalyptic number.

112541052 is a gapful number since it is divisible by the number (12) 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 112541052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142502976).

112541052 is an abundant number, since it is smaller than the sum of its proper divisors (172464900).

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

112541052 is a wasteful number, since it uses less digits than its factorization.

112541052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 112541052 is about 10608.5367511264. The cubic root of 112541052 is about 482.8034040808.

Adding to 112541052 its reverse (250145211), we get a palindrome (362686263).

The spelling of 112541052 in words is "one hundred twelve million, five hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 5507 6812 10218 11014 16521 20436 22028 33042 66084 71591 143182 214773 286364 429546 721417 859092 1442834 2164251 2885668 4328502 8657004 9378421 18756842 28135263 37513684 56270526 112541052