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1940620032 = 28341323313
BaseRepresentation
bin111001110101011…
…1000001100000000
312000020121201020000
41303222320030000
512433244320112
6520322120000
766042666231
oct16352701400
95006551200
101940620032
1190647a60a
12461ab0000
1324c0866a0
14145a3d088
15b55837dc
hex73ab8300

1940620032 has 360 divisors, whose sum is σ = 6523417824. Its totient is φ = 569327616.

The previous prime is 1940620027. The next prime is 1940620039. The reversal of 1940620032 is 2300260491.

1940620032 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 620 + 0 + 32 = 666.

It is a super-2 number, since 2×19406200322 = 7532012217199362048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1940619978 and 1940620005.

It is not an unprimeable number, because it can be changed into a prime (1940620039) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6199908 + ... + 6200220.

Almost surely, 21940620032 is an apocalyptic number.

1940620032 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 1940620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261708912).

1940620032 is an abundant number, since it is smaller than the sum of its proper divisors (4582797792).

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

1940620032 is a wasteful number, since it uses less digits than its factorization.

1940620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1940620032 is about 44052.4690794966. The cubic root of 1940620032 is about 1247.3265597434.

The spelling of 1940620032 in words is "one billion, nine hundred forty million, six hundred twenty thousand, thirty-two".