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112326912 = 28345417
BaseRepresentation
bin1101011000111…
…11100100000000
321211100210120000
412230133210000
5212223430122
615051320000
72532522465
oct654374400
9254323500
10112326912
1158450965
1231750000
131a36b539
1410cbd66c
159cdc0ac
hex6b1f900

112326912 has 90 divisors (see below), whose sum is σ = 335000358. Its totient is φ = 37435392.

The previous prime is 112326911. The next prime is 112326923. The reversal of 112326912 is 219623211.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 40144896 = 8496^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (112326911) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18028 + ... + 23444.

Almost surely, 2112326912 is an apocalyptic number.

112326912 is a gapful number since it is divisible by the number (12) 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 112326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167500179).

112326912 is an abundant number, since it is smaller than the sum of its proper divisors (222673446).

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

112326912 is an frugal number, since it uses more digits than its factorization.

112326912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5422 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 112326912 is about 10598.4391303625. The cubic root of 112326912 is about 482.4969879988.

The spelling of 112326912 in words is "one hundred twelve million, three hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5417 6912 10368 10834 16251 20736 21668 32502 43336 48753 65004 86672 97506 130008 146259 173344 195012 260016 292518 346688 390024 438777 520032 585036 693376 780048 877554 1040064 1170072 1386752 1560096 1755108 2080128 2340144 3120192 3510216 4160256 4680288 6240384 7020432 9360576 12480768 14040864 18721152 28081728 37442304 56163456 112326912