Search a number
-
+
112427008 = 2154773
BaseRepresentation
bin1101011001110…
…00000000000000
321211112212212021
412230320000000
5212240131013
615053411224
72533420351
oct654700000
9254485767
10112427008
115850a091
1231799b14
131a3a4c75
1410d07d28
159d0ba8d
hex6b38000

112427008 has 64 divisors (see below), whose sum is σ = 232780320. Its totient is φ = 54263808.

The previous prime is 112426999. The next prime is 112427017. The reversal of 112427008 is 800724211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112426999) and next prime (112427017).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540060 + ... + 1540132.

Almost surely, 2112427008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116390160).

112427008 is an abundant number, since it is smaller than the sum of its proper divisors (120353312).

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

112427008 is an frugal number, since it uses more digits than its factorization.

112427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 112427008 is about 10603.1602836136. The cubic root of 112427008 is about 482.6402652687.

The spelling of 112427008 in words is "one hundred twelve million, four hundred twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 47 64 73 94 128 146 188 256 292 376 512 584 752 1024 1168 1504 2048 2336 3008 3431 4096 4672 6016 6862 8192 9344 12032 13724 16384 18688 24064 27448 32768 37376 48128 54896 74752 96256 109792 149504 192512 219584 299008 385024 439168 598016 770048 878336 1196032 1540096 1756672 2392064 3513344 7026688 14053376 28106752 56213504 112427008