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1143026640 = 243457113223
BaseRepresentation
bin100010000100001…
…0011001111010000
32221122210202210000
41010020103033100
54320103323030
6305231010000
740216365120
oct10410231720
92848722700
101143026640
11537232918
1227a969900
13152a67032
14abb3cc80
156a534860
hex442133d0

1143026640 has 400 divisors, whose sum is σ = 4597705728. Its totient is φ = 257789952.

The previous prime is 1143026617. The next prime is 1143026669. The reversal of 1143026640 is 466203411.

1143026640 is a `hidden beast` number, since 1 + 14 + 3 + 0 + 2 + 6 + 640 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5125569 + ... + 5125791.

Almost surely, 21143026640 is an apocalyptic number.

1143026640 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 1143026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298852864).

1143026640 is an abundant number, since it is smaller than the sum of its proper divisors (3454679088).

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

1143026640 is a wasteful number, since it uses less digits than its factorization.

1143026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1143026640 is about 33808.6769927485. The cubic root of 1143026640 is about 1045.5676014163.

The spelling of 1143026640 in words is "one billion, one hundred forty-three million, twenty-six thousand, six hundred forty".