Search a number
-
+
2840980320 = 2532519103837
BaseRepresentation
bin1010100101010101…
…1110101101100000
321022222210202100100
42221111132231200
521304242332240
61145524022400
7130254635313
oct25125365540
97288722310
102840980320
111228728622
12673531a00
13363778059
141cd45097a
15119631e30
hexa955eb60

2840980320 has 144 divisors (see below), whose sum is σ = 10205198640. Its totient is φ = 717714432.

The previous prime is 2840980319. The next prime is 2840980321. The reversal of 2840980320 is 230890482.

2840980320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2840980319) and next prime (2840980321).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840980321) 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, 24559 + ... + 79278.

It is an arithmetic number, because the mean of its divisors is an integer number (70869435).

Almost surely, 22840980320 is an apocalyptic number.

2840980320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2840980320 is an abundant number, since it is smaller than the sum of its proper divisors (7364218320).

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

2840980320 is a wasteful number, since it uses less digits than its factorization.

2840980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103877 (or 103866 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2840980320 is about 53300.8472728155. The cubic root of 2840980320 is about 1416.3026739746.

The spelling of 2840980320 in words is "two billion, eight hundred forty million, nine hundred eighty thousand, three hundred twenty".

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 103837 207674 311511 415348 519185 623022 830696 934533 1038370 1246044 1557555 1661392 1869066 1972903 2076740 2492088 3115110 3322784 3738132 3945806 4153480 4672665 4984176 5918709 6230220 7476264 7891612 8306960 9345330 9864515 9968352 11837418 12460440 14952528 15783224 16613920 17756127 18690660 19729030 23674836 24920880 29593545 29905056 31566448 35512254 37381320 39458060 47349672 49841760 59187090 63132896 71024508 74762640 78916120 88780635 94699344 118374180 142049016 149525280 157832240 177561270 189398688 236748360 284098032 315664480 355122540 473496720 568196064 710245080 946993440 1420490160 2840980320