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112891136 = 28716211
BaseRepresentation
bin1101011101010…
…01010100000000
321212102110112012
412232221110000
5212400004021
615111352052
72540362451
oct656512400
9255373465
10112891136
11587a6866
1231982628
131a5082b7
1410dc9128
159d9e35b
hex6ba9500

112891136 has 36 divisors (see below), whose sum is σ = 228551904. Its totient is φ = 55641600.

The previous prime is 112891117. The next prime is 112891139. The reversal of 112891136 is 631198211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112891139) 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 3 ways as a sum of consecutive naturals, for example, 15071 + ... + 21281.

It is an arithmetic number, because the mean of its divisors is an integer number (6348664).

Almost surely, 2112891136 is an apocalyptic number.

112891136 is a gapful number since it is divisible by the number (16) 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 112891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114275952).

112891136 is an abundant number, since it is smaller than the sum of its proper divisors (115660768).

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

112891136 is an frugal number, since it uses more digits than its factorization.

112891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6284 counting only the distinct ones).

The product of its digits is 2592, while the sum is 32.

The square root of 112891136 is about 10625.0240470316. The cubic root of 112891136 is about 483.3035083723.

The spelling of 112891136 in words is "one hundred twelve million, eight hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 6211 9088 12422 18176 24844 49688 99376 198752 397504 440981 795008 881962 1590016 1763924 3527848 7055696 14111392 28222784 56445568 112891136