Search a number
-
+
3929139240 = 2335132986851
BaseRepresentation
bin1110101000110001…
…1110100000101000
3101010211100221202120
43222030132200220
531021324423430
61445515031240
7166240063305
oct35214364050
911124327676
103929139240
111736995514
12917a3b520
134a8041180
14293b8a0ac
1517ee29610
hexea31e828

3929139240 has 128 divisors (see below), whose sum is σ = 13132022400. Its totient is φ = 933811200.

The previous prime is 3929139217. The next prime is 3929139281. The reversal of 3929139240 is 429319293.

It is a junction number, because it is equal to n+sod(n) for n = 3929139192 and 3929139201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815 + ... + 88665.

It is an arithmetic number, because the mean of its divisors is an integer number (102593925).

Almost surely, 23929139240 is an apocalyptic number.

3929139240 is a gapful number since it is divisible by the number (30) 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 3929139240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566011200).

3929139240 is an abundant number, since it is smaller than the sum of its proper divisors (9202883160).

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

3929139240 is a wasteful number, since it uses less digits than its factorization.

3929139240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86907 (or 86903 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3929139240 is about 62682.8464573842. The cubic root of 3929139240 is about 1577.9714446233.

The spelling of 3929139240 in words is "three billion, nine hundred twenty-nine million, one hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 86851 173702 260553 347404 434255 521106 694808 868510 1042212 1129063 1302765 1737020 2084424 2258126 2518679 2605530 3387189 3474040 4516252 5037358 5211060 5645315 6774378 7556037 9032504 10074716 10422120 11290630 12593395 13548756 15112074 16935945 20149432 22581260 25186790 27097512 30224148 32742827 33871890 37780185 45162520 50373580 60448296 65485654 67743780 75560370 98228481 100747160 130971308 135487560 151120740 163714135 196456962 261942616 302241480 327428270 392913924 491142405 654856540 785827848 982284810 1309713080 1964569620 3929139240