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1931965140 = 223572657131
BaseRepresentation
bin111001100100111…
…0111001011010100
311222122022222221110
41303021313023110
512424040341030
6515412415020
765606301300
oct16311671324
94878288843
101931965140
119015a9006
1245b017470
1324a346151
14144828d00
15b49241b0
hex732772d4

1931965140 has 72 divisors (see below), whose sum is σ = 6292696032. Its totient is φ = 441591360.

The previous prime is 1931965073. The next prime is 1931965157. The reversal of 1931965140 is 415691391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325626 + ... + 331505.

It is an arithmetic number, because the mean of its divisors is an integer number (87398556).

Almost surely, 21931965140 is an apocalyptic number.

1931965140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1931965140 is an abundant number, since it is smaller than the sum of its proper divisors (4360730892).

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

1931965140 is a wasteful number, since it uses less digits than its factorization.

1931965140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657157 (or 657148 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 1931965140 is about 43954.1254036524. The cubic root of 1931965140 is about 1245.4694959981.

The spelling of 1931965140 in words is "one billion, nine hundred thirty-one million, nine hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 657131 1314262 1971393 2628524 3285655 3942786 4599917 6571310 7885572 9199834 9856965 13142620 13799751 18399668 19713930 22999585 27599502 32199419 39427860 45999170 55199004 64398838 68998755 91998340 96598257 128797676 137997510 160997095 193196514 275995020 321994190 386393028 482991285 643988380 965982570 1931965140