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6701082240 = 27357149157
BaseRepresentation
bin1100011110110101…
…00110011010000000
3122022000021020201010
412033122212122000
5102210434112430
63024535240520
7325026154626
oct61732463200
918260236633
106701082240
11292964a2a6
121370219140
1382a3c6928
14477d89516
15293470cb0
hex18f6a6680

6701082240 has 128 divisors (see below), whose sum is σ = 21660981120. Its totient is φ = 1761751040.

The previous prime is 6701082217. The next prime is 6701082257. The reversal of 6701082240 is 422801076.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6701082198 and 6701082207.

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, 111742 + ... + 160898.

It is an arithmetic number, because the mean of its divisors is an integer number (169226415).

Almost surely, 26701082240 is an apocalyptic number.

6701082240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6701082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830490560).

6701082240 is an abundant number, since it is smaller than the sum of its proper divisors (14959898880).

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

6701082240 is a wasteful number, since it uses less digits than its factorization.

6701082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49250 (or 49238 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6701082240 is about 81860.1382847598. The cubic root of 6701082240 is about 1885.3051301720.

The spelling of 6701082240 in words is "six billion, seven hundred one million, eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 284 320 355 384 426 480 568 640 710 852 960 1065 1136 1420 1704 1920 2130 2272 2840 3408 4260 4544 5680 6816 8520 9088 11360 13632 17040 22720 27264 34080 45440 49157 68160 98314 136320 147471 196628 245785 294942 393256 491570 589884 737355 786512 983140 1179768 1474710 1573024 1966280 2359536 2949420 3146048 3490147 3932560 4719072 5898840 6292096 6980294 7865120 9438144 10470441 11797680 13960588 15730240 17450735 18876288 20940882 23595360 27921176 31460480 34901470 41881764 47190720 52352205 55842352 69802940 83763528 94381440 104704410 111684704 139605880 167527056 209408820 223369408 279211760 335054112 418817640 446738816 558423520 670108224 837635280 1116847040 1340216448 1675270560 2233694080 3350541120 6701082240