Search a number
-
+
1939134015 = 3257131924923
BaseRepresentation
bin111001110010100…
…1101011000111111
312000010211012210100
41303211031120333
512432404242030
6520230212143
766024236640
oct16345153077
95003735710
101939134015
119056550a5
124614b4053
1324b9861a0
141457736c7
15b538d360
hex7394d63f

1939134015 has 96 divisors (see below), whose sum is σ = 4354721280. Its totient is φ = 775173888.

The previous prime is 1939134013. The next prime is 1939134023. The reversal of 1939134015 is 5104319391.

It is not a de Polignac number, because 1939134015 - 21 = 1939134013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939134013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65344 + ... + 90266.

It is an arithmetic number, because the mean of its divisors is an integer number (45361680).

Almost surely, 21939134015 is an apocalyptic number.

1939134015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1939134015 is an abundant number, since it is smaller than the sum of its proper divisors (2415587265).

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

1939134015 is a wasteful number, since it uses less digits than its factorization.

1939134015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24973 (or 24970 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1939134015 is about 44035.5994054810. The cubic root of 1939134015 is about 1247.0081010795.

The spelling of 1939134015 in words is "one billion, nine hundred thirty-nine million, one hundred thirty-four thousand, fifteen".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 57 63 65 91 95 105 117 133 171 195 247 273 285 315 399 455 585 665 741 819 855 1197 1235 1365 1729 1995 2223 3705 4095 5187 5985 8645 11115 15561 24923 25935 74769 77805 124615 174461 224307 323999 373845 473537 523383 872305 971997 1121535 1420611 1570149 1619995 2267993 2367685 2616915 2915991 3314759 4261833 4859985 6155981 6803979 7103055 7850745 9944277 11339965 14579955 16573795 18467943 20411937 21309165 29832831 30779905 34019895 43091867 49721385 55403829 92339715 102059685 129275601 149164155 215459335 277019145 387826803 646378005 1939134015