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2068558080 = 28353117377
BaseRepresentation
bin111101101001011…
…1011000100000000
312100011100122020020
41323102323010000
513214022324310
6541132213440
7102155311401
oct17322730400
95304318206
102068558080
11971713336
1249890a280
1326c72c784
14158a239a8
15c1906170
hex7b4bb100

2068558080 has 144 divisors (see below), whose sum is σ = 6819961344. Its totient is φ = 533790720.

The previous prime is 2068558069. The next prime is 2068558087. The reversal of 2068558080 is 808558602.

It is not an unprimeable number, because it can be changed into a prime (2068558087) 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, 110352 + ... + 127728.

Almost surely, 22068558080 is an apocalyptic number.

2068558080 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 2068558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409980672).

2068558080 is an abundant number, since it is smaller than the sum of its proper divisors (4751403264).

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

2068558080 is a wasteful number, since it uses less digits than its factorization.

2068558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17432 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 2068558080 is about 45481.4036722703. The cubic root of 2068558080 is about 1274.1559103601.

The spelling of 2068558080 in words is "two billion, sixty-eight million, five hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 17377 19840 23808 29760 34754 39680 52131 59520 69508 86885 104262 119040 139016 173770 208524 260655 278032 347540 417048 521310 538687 556064 695080 834096 1042620 1077374 1112128 1390160 1616061 1668192 2085240 2154748 2224256 2693435 2780320 3232122 3336384 4170480 4309496 4448512 5386870 5560640 6464244 6672768 8080305 8340960 8618992 10773740 11121280 12928488 13345536 16160610 16681920 17237984 21547480 22242560 25856976 32321220 33363840 34475968 43094960 51713952 64642440 66727680 68951936 86189920 103427904 129284880 137903872 172379840 206855808 258569760 344759680 413711616 517139520 689519360 1034279040 2068558080