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111996576 = 25322331669
BaseRepresentation
bin1101010110011…
…10111010100000
321210202000102100
412223032322200
5212132342301
615040250400
72526645426
oct653167240
9253660370
10111996576
115824575a
1231610a00
131a284083
1410c35116
159c74286
hex6aceea0

111996576 has 72 divisors (see below), whose sum is σ = 320048820. Its totient is φ = 37149696.

The previous prime is 111996569. The next prime is 111996587. The reversal of 111996576 is 675699111.

It can be written as a sum of positive squares in 2 ways, for example, as 109746576 + 2250000 = 10476^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66270 + ... + 67938.

Almost surely, 2111996576 is an apocalyptic number.

111996576 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 111996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160024410).

111996576 is an abundant number, since it is smaller than the sum of its proper divisors (208052244).

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

111996576 is a wasteful number, since it uses less digits than its factorization.

111996576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1907 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 111996576 is about 10582.8434742275. The cubic root of 111996576 is about 482.0235406855.

The spelling of 111996576 in words is "one hundred eleven million, nine hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1669 1864 2097 2796 3338 3728 4194 5007 5592 6676 7456 8388 10014 11184 13352 15021 16776 20028 22368 26704 30042 33552 40056 53408 60084 67104 80112 120168 160224 240336 388877 480672 777754 1166631 1555508 2333262 3111016 3499893 4666524 6222032 6999786 9333048 12444064 13999572 18666096 27999144 37332192 55998288 111996576