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2068434760 = 23578983003
BaseRepresentation
bin111101101001001…
…1100111101001000
312100011010101001211
41323102130331020
513214004403020
6541125422504
7102154256020
oct17322347510
95304111054
102068434760
11971639717
1249886aa34
1326c6b85c2
141589d0a80
15c18ce85a
hex7b49cf48

2068434760 has 64 divisors (see below), whose sum is σ = 5378659200. Its totient is φ = 701200896.

The previous prime is 2068434749. The next prime is 2068434799. The reversal of 2068434760 is 674348602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16582 + ... + 66421.

It is an arithmetic number, because the mean of its divisors is an integer number (84041550).

Almost surely, 22068434760 is an apocalyptic number.

2068434760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068434760 is an abundant number, since it is smaller than the sum of its proper divisors (3310224440).

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

2068434760 is a wasteful number, since it uses less digits than its factorization.

2068434760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83110 (or 83106 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2068434760 is about 45480.0479331322. The cubic root of 2068434760 is about 1274.1305896579.

The spelling of 2068434760 in words is "two billion, sixty-eight million, four hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 83003 166006 332012 415015 581021 664024 830030 1162042 1660060 2324084 2905105 3320120 4648168 5810210 7387267 11620420 14774534 23240840 29549068 36936335 51710869 59098136 73872670 103421738 147745340 206843476 258554345 295490680 413686952 517108690 1034217380 2068434760