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112900608 = 29338167
BaseRepresentation
bin1101011101010…
…11101000000000
321212102221112000
412232223220000
5212400304413
615111504000
72540432202
oct656535000
9255387460
10112900608
1158802997
1231988000
131a50c6c2
1410dcc772
159da2073
hex6baba00

112900608 has 80 divisors (see below), whose sum is σ = 334234560. Its totient is φ = 37628928.

The previous prime is 112900597. The next prime is 112900609. The reversal of 112900608 is 806009211.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (112900609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9741 + ... + 17907.

It is an arithmetic number, because the mean of its divisors is an integer number (4177932).

Almost surely, 2112900608 is an apocalyptic number.

112900608 is a gapful number since it is divisible by the number (18) 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 112900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167117280).

112900608 is an abundant number, since it is smaller than the sum of its proper divisors (221333952).

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

112900608 is an frugal number, since it uses more digits than its factorization.

112900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112900608 is about 10625.4697778498. The cubic root of 112900608 is about 483.3170250013.

Adding to 112900608 its reverse (806009211), we get a palindrome (918909819).

The spelling of 112900608 in words is "one hundred twelve million, nine hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 8167 13824 16334 24501 32668 49002 65336 73503 98004 130672 147006 196008 220509 261344 294012 392016 441018 522688 588024 784032 882036 1045376 1176048 1568064 1764072 2090752 2352096 3136128 3528144 4181504 4704192 6272256 7056288 9408384 12544512 14112576 18816768 28225152 37633536 56450304 112900608