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6982085040 = 2435719218737
BaseRepresentation
bin1101000000010101…
…00010100110110000
3200000121000200002020
412200022202212300
5103244403210130
63112454151440
7335010513030
oct64012424660
920017020066
106982085040
112a63228917
12142a352580
138736a2888
144a34158c0
152ace7ae10
hex1a02a29b0

6982085040 has 160 divisors (see below), whose sum is σ = 26038571520. Its totient is φ = 1511903232.

The previous prime is 6982085027. The next prime is 6982085069. The reversal of 6982085040 is 405802896.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6982084983 and 6982085001.

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, 77449 + ... + 141288.

It is an arithmetic number, because the mean of its divisors is an integer number (162741072).

Almost surely, 26982085040 is an apocalyptic number.

6982085040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6982085040 is an abundant number, since it is smaller than the sum of its proper divisors (19056486480).

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

6982085040 is a wasteful number, since it uses less digits than its factorization.

6982085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218779 (or 218773 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6982085040 is about 83558.8717013340. The cubic root of 6982085040 is about 1911.2978797799.

The spelling of 6982085040 in words is "six billion, nine hundred eighty-two million, eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 218737 437474 656211 874948 1093685 1312422 1531159 1749896 2187370 2624844 3062318 3281055 3499792 4156003 4374740 4593477 5249688 6124636 6562110 7655795 8312006 8749480 9186954 10499376 12249272 12468009 13124220 15311590 16624012 17498960 18373908 20780015 22967385 24498544 24936018 26248440 29092021 30623180 33248024 36747816 41560030 45934770 49872036 52496880 58184042 61246360 62340045 66496048 73495632 83120060 87276063 91869540 99744072 116368084 122492720 124680090 145460105 166240120 174552126 183739080 199488144 232736168 249360180 290920210 332480240 349104252 367478160 436380315 465472336 498720360 581840420 698208504 872760630 997440720 1163680840 1396417008 1745521260 2327361680 3491042520 6982085040