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2068514880 = 26356135323
BaseRepresentation
bin111101101001011…
…0000100001000000
312100011021102222020
41323102300201000
513214014434010
6541131241440
7102155041425
oct17322604100
95304242866
102068514880
11971693933
124988a9280
1326c715c03
14158a11d4c
15c18e8470
hex7b4b0840

2068514880 has 112 divisors (see below), whose sum is σ = 6675388224. Its totient is φ = 542545920.

The previous prime is 2068514873. The next prime is 2068514887. The reversal of 2068514880 is 884158602.

It is an interprime number because it is at equal distance from previous prime (2068514873) and next prime (2068514887).

It is not an unprimeable number, because it can be changed into a prime (2068514887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40899 + ... + 76221.

Almost surely, 22068514880 is an apocalyptic number.

2068514880 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 2068514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337694112).

2068514880 is an abundant number, since it is smaller than the sum of its proper divisors (4606873344).

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

2068514880 is a wasteful number, since it uses less digits than its factorization.

2068514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35404 (or 35394 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2068514880 is about 45480.9287504114. The cubic root of 2068514880 is about 1274.1470404265.

The spelling of 2068514880 in words is "two billion, sixty-eight million, five hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 35323 58560 70646 105969 141292 176615 211938 282584 353230 423876 529845 565168 706460 847752 1059690 1130336 1412920 1695504 2119380 2154703 2260672 2825840 3391008 4238760 4309406 5651680 6464109 6782016 8477520 8618812 10773515 11303360 12928218 16955040 17237624 21547030 25856436 32320545 33910080 34475248 43094060 51712872 64641090 68950496 86188120 103425744 129282180 137900992 172376240 206851488 258564360 344752480 413702976 517128720 689504960 1034257440 2068514880