Search a number
-
+
2905987680 = 2532519106213
BaseRepresentation
bin1010110100110101…
…1101101001100000
321111112010110200100
42231031131221200
521422413101210
61200205222400
7132004326201
oct25515355140
97445113610
102905987680
111261399612
12691261a00
1337408924b
141d7d335a8
151201c35c0
hexad35da60

2905987680 has 144 divisors (see below), whose sum is σ = 10438711920. Its totient is φ = 734137344.

The previous prime is 2905987673. The next prime is 2905987681. The reversal of 2905987680 is 867895092.

It is a happy number.

2905987680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905987681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25747 + ... + 80466.

It is an arithmetic number, because the mean of its divisors is an integer number (72491055).

Almost surely, 22905987680 is an apocalyptic number.

2905987680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2905987680 is an abundant number, since it is smaller than the sum of its proper divisors (7532724240).

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

2905987680 is a wasteful number, since it uses less digits than its factorization.

2905987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106253 (or 106242 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2905987680 is about 53907.2136174742. The cubic root of 2905987680 is about 1427.0239310623.

The spelling of 2905987680 in words is "two billion, nine hundred five million, nine hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 106213 212426 318639 424852 531065 637278 849704 955917 1062130 1274556 1593195 1699408 1911834 2018047 2124260 2549112 3186390 3398816 3823668 4036094 4248520 4779585 5098224 6054141 6372780 7647336 8072188 8497040 9559170 10090235 10196448 12108282 12745560 15294672 16144376 16994080 18162423 19118340 20180470 24216564 25491120 30270705 30589344 32288752 36324846 38236680 40360940 48433128 50982240 60541410 64577504 72649692 76473360 80721880 90812115 96866256 121082820 145299384 152946720 161443760 181624230 193732512 242165640 290598768 322887520 363248460 484331280 581197536 726496920 968662560 1452993840 2905987680