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1112946912 = 253371116729
BaseRepresentation
bin100001001010110…
…0011100011100000
32212120012120011000
41002111203203200
54234403300122
6302234152000
736402615120
oct10225434340
92776176130
101112946912
11521258540
12270882600
1314976498c
14a7b4cc80
1567a920ac
hex425638e0

1112946912 has 192 divisors, whose sum is σ = 4047321600. Its totient is φ = 289059840.

The previous prime is 1112946893. The next prime is 1112946937. The reversal of 1112946912 is 2196492111.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58164 + ... + 74892.

It is an arithmetic number, because the mean of its divisors is an integer number (21079800).

Almost surely, 21112946912 is an apocalyptic number.

1112946912 is a gapful number since it is divisible by the number (12) 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 1112946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023660800).

1112946912 is an abundant number, since it is smaller than the sum of its proper divisors (2934374688).

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

1112946912 is a wasteful number, since it uses less digits than its factorization.

1112946912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16752 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1112946912 is about 33360.8589817469. The cubic root of 1112946912 is about 1036.3142808024.

The spelling of 1112946912 in words is "one billion, one hundred twelve million, nine hundred forty-six thousand, nine hundred twelve".