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112199980 = 225231491637
BaseRepresentation
bin1101011000000…
…00100100101100
321211010100102211
412230000210230
5212210344410
615044500204
72531453434
oct654004454
9254110384
10112199980
1158374562
12316aa664
131a325829
1410c892c4
159cb468a
hex6b0092c

112199980 has 48 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 42614528.

The previous prime is 112199977. The next prime is 112200001. The reversal of 112199980 is 89991211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67722 + ... + 69358.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2112199980 is an apocalyptic number.

112199980 is a gapful number since it is divisible by the number (10) 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 112199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

112199980 is an abundant number, since it is smaller than the sum of its proper divisors (135465620).

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

112199980 is a wasteful number, since it uses less digits than its factorization.

112199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The square root of 112199980 is about 10592.4491974236. The cubic root of 112199980 is about 482.3151752576.

It can be divided in two parts, 1121 and 99980, that added together give a palindrome (101101).

The spelling of 112199980 in words is "one hundred twelve million, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 149 230 298 460 596 745 1490 1637 2980 3274 3427 6548 6854 8185 13708 16370 17135 32740 34270 37651 68540 75302 150604 188255 243913 376510 487826 753020 975652 1219565 2439130 4878260 5609999 11219998 22439996 28049995 56099990 112199980