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2068687560 = 233534135051
BaseRepresentation
bin111101101001101…
…1010101011001000
312100011121012211210
41323103122223020
513214041000220
6541135053120
7102156361032
oct17323325310
95304535753
102068687560
119717a1645
124989711a0
1326c7766a4
14158a58c52
15c192e6e0
hex7b4daac8

2068687560 has 64 divisors (see below), whose sum is σ = 6209110080. Its totient is φ = 551379200.

The previous prime is 2068687549. The next prime is 2068687561. The reversal of 2068687560 is 657868602.

It is not an unprimeable number, because it can be changed into a prime (2068687561) by changing a digit.

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, 407035 + ... + 412085.

It is an arithmetic number, because the mean of its divisors is an integer number (97017345).

Almost surely, 22068687560 is an apocalyptic number.

2068687560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068687560 is an abundant number, since it is smaller than the sum of its proper divisors (4140422520).

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

2068687560 is a wasteful number, since it uses less digits than its factorization.

2068687560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2068687560 is about 45482.8270889135. The cubic root of 2068687560 is about 1274.1824947825.

The spelling of 2068687560 in words is "two billion, sixty-eight million, six hundred eighty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3413 5051 6826 10102 10239 13652 15153 17065 20204 20478 25255 27304 30306 34130 40408 40956 50510 51195 60612 68260 75765 81912 101020 102390 121224 136520 151530 202040 204780 303060 409560 606120 17239063 34478126 51717189 68956252 86195315 103434378 137912504 172390630 206868756 258585945 344781260 413737512 517171890 689562520 1034343780 2068687560