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2986693920 = 253257296299
BaseRepresentation
bin1011001000000101…
…0101010100100000
321201010222202211100
42302001111110200
522104043201140
61212211114400
7134004323310
oct26201252440
97633882740
102986693920
1112a2a02391
126b42a2a00
13387a05c12
14204941440
15127316530
hexb2055520

2986693920 has 144 divisors (see below), whose sum is σ = 11648145600. Its totient is φ = 682670592.

The previous prime is 2986693883. The next prime is 2986693921. The reversal of 2986693920 is 293966892.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2986693921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138070 + ... + 158229.

It is an arithmetic number, because the mean of its divisors is an integer number (80889900).

Almost surely, 22986693920 is an apocalyptic number.

2986693920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2986693920 is an abundant number, since it is smaller than the sum of its proper divisors (8661451680).

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

2986693920 is a wasteful number, since it uses less digits than its factorization.

2986693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296327 (or 296316 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2986693920 is about 54650.6534270177. The cubic root of 2986693920 is about 1440.1141113275.

The spelling of 2986693920 in words is "two billion, nine hundred eighty-six million, six hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 296299 592598 888897 1185196 1481495 1777794 2074093 2370392 2666691 2962990 3555588 4148186 4444485 4740784 5333382 5925980 6222279 7111176 8296372 8888970 9481568 10370465 10666764 11851960 12444558 13333455 14222352 16592744 17777940 18666837 20740930 21333528 23703920 24889116 26666910 28444704 31111395 33185488 35555880 37333674 41481860 42667056 47407840 49778232 53333820 62222790 66370976 71111760 74667348 82963720 85334112 93334185 99556464 106667640 124445580 142223520 149334696 165927440 186668370 199112928 213335280 248891160 298669392 331854880 373336740 426670560 497782320 597338784 746673480 995564640 1493346960 2986693920