Search a number
-
+
112361144 = 2376729947
BaseRepresentation
bin1101011001001…
…11111010111000
321211102112111212
412230213322320
5212231024034
615052142252
72533024340
oct654477270
9254375455
10112361144
1158474655
1231767988
131a380cac
1410ccbd20
159ce72ce
hex6b27eb8

112361144 has 32 divisors (see below), whose sum is σ = 244375680. Its totient is φ = 47434464.

The previous prime is 112361131. The next prime is 112361149. The reversal of 112361144 is 441163211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112361149) 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, 11222 + ... + 18725.

It is an arithmetic number, because the mean of its divisors is an integer number (7636740).

Almost surely, 2112361144 is an apocalyptic number.

112361144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112361144 is an abundant number, since it is smaller than the sum of its proper divisors (132014536).

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

112361144 is a wasteful number, since it uses less digits than its factorization.

112361144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30027 (or 30023 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 112361144 is about 10600.0539621268. The cubic root of 112361144 is about 482.5459972078.

The spelling of 112361144 in words is "one hundred twelve million, three hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3752 29947 59894 119788 209629 239576 419258 838516 1677032 2006449 4012898 8025796 14045143 16051592 28090286 56180572 112361144