Search a number
-
+
112436896 = 25111324571
BaseRepresentation
bin1101011001110…
…10011010100000
321211120101102111
412230322122200
5212240440041
615053525104
72533461235
oct654723240
9254511374
10112436896
1158516560
12317a3794
131a3a9610
1410d0b78c
159d0e981
hex6b3a6a0

112436896 has 48 divisors (see below), whose sum is σ = 260070048. Its totient is φ = 47174400.

The previous prime is 112436887. The next prime is 112436897. The reversal of 112436896 is 698634211.

It is a super-2 number, since 2×1124368962 = 25284111164229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112436897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7710 + ... + 16861.

It is an arithmetic number, because the mean of its divisors is an integer number (5418126).

Almost surely, 2112436896 is an apocalyptic number.

112436896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112436896 is an abundant number, since it is smaller than the sum of its proper divisors (147633152).

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

112436896 is a wasteful number, since it uses less digits than its factorization.

112436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24605 (or 24597 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 112436896 is about 10603.6265494405. The cubic root of 112436896 is about 482.6544143216.

The spelling of 112436896 in words is "one hundred twelve million, four hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 24571 49142 98284 196568 270281 319423 393136 540562 638846 786272 1081124 1277692 2162248 2555384 3513653 4324496 5110768 7027306 8648992 10221536 14054612 28109224 56218448 112436896