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2683082240 = 2953133809
BaseRepresentation
bin1001111111101100…
…1001011000000000
320220222200200220022
42133323021120000
520443332112430
61122123433012
7123326552126
oct23773113000
96828620808
102683082240
111157591443
1262a685768
13339b42237
141b64ab916
1510a8424e5
hex9fec9600

2683082240 has 80 divisors (see below), whose sum is σ = 6640824960. Its totient is φ = 1038581760.

The previous prime is 2683082231. The next prime is 2683082251. The reversal of 2683082240 is 422803862.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2683082240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62456 + ... + 96264.

It is an arithmetic number, because the mean of its divisors is an integer number (83010312).

Almost surely, 22683082240 is an apocalyptic number.

2683082240 is a gapful number since it is divisible by the number (20) 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 2683082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320412480).

2683082240 is an abundant number, since it is smaller than the sum of its proper divisors (3957742720).

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

2683082240 is an equidigital number, since it uses as much as digits as its factorization.

2683082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33863 (or 33847 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2683082240 is about 51798.4771976938. The cubic root of 2683082240 is about 1389.5622105245.

The spelling of 2683082240 in words is "two billion, six hundred eighty-three million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1240 1280 1984 2480 2560 3968 4960 7936 9920 15872 19840 33809 39680 67618 79360 135236 169045 270472 338090 540944 676180 1048079 1081888 1352360 2096158 2163776 2704720 4192316 4327552 5240395 5409440 8384632 8655104 10480790 10818880 16769264 17310208 20961580 21637760 33538528 41923160 43275520 67077056 83846320 86551040 134154112 167692640 268308224 335385280 536616448 670770560 1341541120 2683082240