Search a number
-
+
2068496000 = 2753129281
BaseRepresentation
bin111101101001010…
…1011111010000000
312100011020111001222
41323102223322000
513214013333000
6541131014212
7102154632404
oct17322537200
95304214058
102068496000
1197168072a
1249889a368
1326c70a43c
14158a09104
15c18e2a85
hex7b4abe80

2068496000 has 64 divisors (see below), whose sum is σ = 5142837960. Its totient is φ = 827392000.

The previous prime is 2068495981. The next prime is 2068496039. The reversal of 2068496000 is 6948602.

It can be written as a sum of positive squares in 4 ways, for example, as 1288522816 + 779973184 = 35896^2 + 27928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 48641 + ... + 80640.

Almost surely, 22068496000 is an apocalyptic number.

2068496000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068496000 is an abundant number, since it is smaller than the sum of its proper divisors (3074341960).

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

2068496000 is an equidigital number, since it uses as much as digits as its factorization.

2068496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129310 (or 129288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2068496000 is about 45480.7211904121. The cubic root of 2068496000 is about 1274.1431638982.

The spelling of 2068496000 in words is "two billion, sixty-eight million, four hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 129281 258562 517124 646405 1034248 1292810 2068496 2585620 3232025 4136992 5171240 6464050 8273984 10342480 12928100 16160125 16547968 20684960 25856200 32320250 41369920 51712400 64640500 82739840 103424800 129281000 206849600 258562000 413699200 517124000 1034248000 2068496000