Search a number
-
+
6981221040 = 2435291003049
BaseRepresentation
bin1101000000001110…
…01111101010110000
3200000112101202220020
412200013033222300
5103244143033130
63112423443440
7335000254053
oct64007175260
920015352806
106981221040
112a62798772
121429bb6580
1387345c531
144a326ca9a
152acd59e10
hex1a01cfab0

6981221040 has 80 divisors (see below), whose sum is σ = 22388076000. Its totient is φ = 1797462016.

The previous prime is 6981220997. The next prime is 6981221057. The reversal of 6981221040 is 401221896.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6981220992 and 6981221010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494565 + ... + 508484.

It is an arithmetic number, because the mean of its divisors is an integer number (279850950).

Almost surely, 26981221040 is an apocalyptic number.

6981221040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6981221040 is an abundant number, since it is smaller than the sum of its proper divisors (15406854960).

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

6981221040 is a wasteful number, since it uses less digits than its factorization.

6981221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003094 (or 1003088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6981221040 is about 83553.7015338040. The cubic root of 6981221040 is about 1911.2190385035.

The spelling of 6981221040 in words is "six billion, nine hundred eighty-one million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1003049 2006098 3009147 4012196 5015245 6018294 8024392 10030490 12036588 15045735 16048784 20060980 24073176 29088421 30091470 40121960 48146352 58176842 60182940 80243920 87265263 116353684 120365880 145442105 174530526 232707368 240731760 290884210 349061052 436326315 465414736 581768420 698122104 872652630 1163536840 1396244208 1745305260 2327073680 3490610520 6981221040