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1120074912 = 253311671759
BaseRepresentation
bin100001011000010…
…1111110010100000
32220001121200221000
41002300233302200
54243214344122
6303051032000
736520323345
oct10260576240
92801550830
101120074912
11525286950
1227313b600
1314b08c228
14a8a867cc
15684ee0ac
hex42c2fca0

1120074912 has 192 divisors, whose sum is σ = 3619123200. Its totient is φ = 334160640.

The previous prime is 1120074889. The next prime is 1120074961. The reversal of 1120074912 is 2194700211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635889 + ... + 637647.

It is an arithmetic number, because the mean of its divisors is an integer number (18849600).

Almost surely, 21120074912 is an apocalyptic number.

1120074912 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 1120074912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809561600).

1120074912 is an abundant number, since it is smaller than the sum of its proper divisors (2499048288).

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

1120074912 is a wasteful number, since it uses less digits than its factorization.

1120074912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1120074912 is about 33467.5202547186. The cubic root of 1120074912 is about 1038.5219734325.

The spelling of 1120074912 in words is "one billion, one hundred twenty million, seventy-four thousand, nine hundred twelve".