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1118142720 = 28325312101
BaseRepresentation
bin100001010100101…
…1000000100000000
32212220222112110100
41002221120010000
54242221031340
6302541402400
736465025212
oct10251300400
92786875410
101118142720
115241871a2
12272569400
1314a863916
14a87025b2
156826b830
hex42a58100

1118142720 has 324 divisors, whose sum is σ = 4037057388. Its totient is φ = 285696000.

The previous prime is 1118142709. The next prime is 1118142757. The reversal of 1118142720 is 272418111.

It can be written as a sum of positive squares in 2 ways, for example, as 799305984 + 318836736 = 28272^2 + 17856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11070670 + ... + 11070770.

Almost surely, 21118142720 is an apocalyptic number.

1118142720 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 1118142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018528694).

1118142720 is an abundant number, since it is smaller than the sum of its proper divisors (2918914668).

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

1118142720 is a wasteful number, since it uses less digits than its factorization.

1118142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1118142720 is about 33438.6411207154. The cubic root of 1118142720 is about 1037.9244601827.

The spelling of 1118142720 in words is "one billion, one hundred eighteen million, one hundred forty-two thousand, seven hundred twenty".