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1940138928 = 2432721321627
BaseRepresentation
bin111001110100100…
…0010101110110000
312000012201021021100
41303221002232300
512433133421203
6520303524400
766035623500
oct16351025660
95005637240
101940138928
11906181102
124618b9700
1324bc48700
14145955a00
15b54daea3
hex73a42bb0

1940138928 has 270 divisors, whose sum is σ = 6843612204. Its totient is φ = 511370496.

The previous prime is 1940138927. The next prime is 1940138939. The reversal of 1940138928 is 8298310491.

It is not an unprimeable number, because it can be changed into a prime (1940138927) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1191651 + ... + 1193277.

Almost surely, 21940138928 is an apocalyptic number.

1940138928 is a gapful number since it is divisible by the number (18) 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 1940138928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421806102).

1940138928 is an abundant number, since it is smaller than the sum of its proper divisors (4903473276).

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

1940138928 is a wasteful number, since it uses less digits than its factorization.

1940138928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1940138928 is about 44047.0081617356. The cubic root of 1940138928 is about 1247.2234752680.

The spelling of 1940138928 in words is "one billion, nine hundred forty million, one hundred thirty-eight thousand, nine hundred twenty-eight".