Search a number
-
+
112860288 = 27323132
BaseRepresentation
bin1101011101000…
…01110010000000
321212100220012200
412232201302000
5212343012123
615110553200
72540203512
oct656416200
9255326180
10112860288
1158785672
1231968800
131a4c7248
1410dbbbb2
159d95143
hex6ba1c80

112860288 has 72 divisors (see below), whose sum is σ = 325808145. Its totient is φ = 37499904.

The previous prime is 112860281. The next prime is 112860317. The reversal of 112860288 is 882068211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 47444544 = 8088^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112860281) 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 8 ways as a sum of consecutive naturals, for example, 360420 + ... + 360732.

Almost surely, 2112860288 is an apocalyptic number.

112860288 is a gapful number since it is divisible by the number (18) 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 112860288

112860288 is an abundant number, since it is smaller than the sum of its proper divisors (212947857).

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

112860288 is an frugal number, since it uses more digits than its factorization.

112860288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 112860288 is about 10623.5722805467. The cubic root of 112860288 is about 483.2594827581.

It can be divided in two parts, 1128 and 60288, that added together give a palindrome (61416).

The spelling of 112860288 in words is "one hundred twelve million, eight hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 313 384 576 626 939 1152 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 20032 22536 30048 40064 45072 60096 90144 97969 120192 180288 195938 293907 360576 391876 587814 783752 881721 1175628 1567504 1763442 2351256 3135008 3526884 4702512 6270016 7053768 9405024 12540032 14107536 18810048 28215072 37620096 56430144 112860288