Search a number
-
+
112891392 = 293224499
BaseRepresentation
bin1101011101010…
…01011000000000
321212102110212200
412232221120000
5212400011032
615111353200
72540363265
oct656513000
9255373780
10112891392
11587a6a79
1231982800
131a508453
1410dc926c
159d9e47c
hex6ba9600

112891392 has 60 divisors (see below), whose sum is σ = 325825500. Its totient is φ = 37628928.

The previous prime is 112891351. The next prime is 112891393. The reversal of 112891392 is 293198211.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112891393) 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 5 ways as a sum of consecutive naturals, for example, 7642 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (5430425).

Almost surely, 2112891392 is an apocalyptic number.

112891392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112891392 is an abundant number, since it is smaller than the sum of its proper divisors (212934108).

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

112891392 is an equidigital number, since it uses as much as digits as its factorization.

112891392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523 (or 24504 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 112891392 is about 10625.0360940563. The cubic root of 112891392 is about 483.3038736966.

The spelling of 112891392 in words is "one hundred twelve million, eight hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 24499 48998 73497 97996 146994 195992 220491 293988 391984 440982 587976 783968 881964 1175952 1567936 1763928 2351904 3135872 3527856 4703808 6271744 7055712 9407616 12543488 14111424 18815232 28222848 37630464 56445696 112891392