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2853100140 = 22351121723117
BaseRepresentation
bin1010101000001110…
…1101101001101100
321100211121111121120
42222003231221230
521320343201030
61151035500540
7130462644132
oct25203555154
97324544546
102853100140
111234556400
126775b7750
1336612c747
141d0cc7752
1511a728010
hexaa0eda6c

2853100140 has 144 divisors (see below), whose sum is σ = 9297874656. Its totient is φ = 650946560.

The previous prime is 2853100073. The next prime is 2853100141. The reversal of 2853100140 is 410013582.

2853100140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2853100140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853100141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111862 + ... + 134978.

It is an arithmetic number, because the mean of its divisors is an integer number (64568574).

Almost surely, 22853100140 is an apocalyptic number.

2853100140 is a gapful number since it is divisible by the number (20) 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 2853100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648937328).

2853100140 is an abundant number, since it is smaller than the sum of its proper divisors (6444774516).

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

2853100140 is a wasteful number, since it uses less digits than its factorization.

2853100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23168 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2853100140 is about 53414.4188398601. The cubic root of 2853100140 is about 1418.3138320642.

The spelling of 2853100140 in words is "two billion, eight hundred fifty-three million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 23117 24684 30855 41140 46234 61710 69351 92468 115585 123420 138702 231170 254287 277404 346755 392989 462340 508574 693510 762861 785978 1017148 1178967 1271435 1387020 1525722 1571956 1964945 2357934 2542870 2797157 3051444 3814305 3929890 4322879 4715868 5085740 5594314 5894835 7628610 7859780 8391471 8645758 11188628 11789670 12968637 13985785 15257220 16782942 17291516 21614395 23579340 25937274 27971570 33565884 41957355 43228790 47551669 51874548 55943140 64843185 83914710 86457580 95103338 129686370 142655007 167829420 190206676 237758345 259372740 285310014 475516690 570620028 713275035 951033380 1426550070 2853100140