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1939991040 = 293351317127
BaseRepresentation
bin111001110100001…
…1110101000000000
312000012102202102000
41303220132220000
512433114203130
6520300424000
766034436361
oct16350365000
95005382360
101939991040
1190608aa89
12461848000
1324bbc62c0
14145917b68
15b54ac260
hex73a1ea00

1939991040 has 640 divisors, whose sum is σ = 7919493120. Its totient is φ = 445906944.

The previous prime is 1939991021. The next prime is 1939991041. The reversal of 1939991040 is 401999391.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939991041) 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 63 ways as a sum of consecutive naturals, for example, 15275457 + ... + 15275583.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 21939991040 is an apocalyptic number.

1939991040 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 1939991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

1939991040 is an abundant number, since it is smaller than the sum of its proper divisors (5979502080).

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

1939991040 is a wasteful number, since it uses less digits than its factorization.

1939991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 1939991040 is about 44045.3293778126. The cubic root of 1939991040 is about 1247.1917843979.

The spelling of 1939991040 in words is "one billion, nine hundred thirty-nine million, nine hundred ninety-one thousand, forty".