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1112881680 = 243551923131
BaseRepresentation
bin100001001010101…
…0011101000010000
32212120002020200000
41002111103220100
54234344203210
6302232530000
736402224001
oct10225235020
92776066600
101112881680
11521213529
12270850900
13149741091
14a7b331a8
1567a7cac0
hex42553a10

1112881680 has 480 divisors, whose sum is σ = 4289725440. Its totient is φ = 266872320.

The previous prime is 1112881669. The next prime is 1112881697. The reversal of 1112881680 is 861882111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8495215 + ... + 8495345.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 21112881680 is an apocalyptic number.

1112881680 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 1112881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1112881680 is an abundant number, since it is smaller than the sum of its proper divisors (3176843760).

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

1112881680 is a wasteful number, since it uses less digits than its factorization.

1112881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The square root of 1112881680 is about 33359.8812947528. The cubic root of 1112881680 is about 1036.2940336031.

It can be divided in two parts, 11128816 and 80, that added together give a square (11128896 = 33362).

The spelling of 1112881680 in words is "one billion, one hundred twelve million, eight hundred eighty-one thousand, six hundred eighty".