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2135855120 = 24572544861
BaseRepresentation
bin111111101001110…
…1001000000010000
312111211222200102012
41333103221000100
513333234330440
6551534442052
7103633316600
oct17723510020
95454880365
102135855120
119a66a8623
124b7363328
13280662bc9
14163940c00
15c779ae65
hex7f4e9010

2135855120 has 60 divisors (see below), whose sum is σ = 5776626924. Its totient is φ = 732291840.

The previous prime is 2135855101. The next prime is 2135855123. The reversal of 2135855120 is 215585312.

It can be written as a sum of positive squares in 2 ways, for example, as 352988944 + 1782866176 = 18788^2 + 42224^2 .

It is not an unprimeable number, because it can be changed into a prime (2135855123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268511 + ... + 276350.

Almost surely, 22135855120 is an apocalyptic number.

2135855120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135855120 is an abundant number, since it is smaller than the sum of its proper divisors (3640771804).

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

2135855120 is a wasteful number, since it uses less digits than its factorization.

2135855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544888 (or 544875 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 2135855120 is about 46215.3126138945. The cubic root of 2135855120 is about 1287.8262210410.

The spelling of 2135855120 in words is "two billion, one hundred thirty-five million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 544861 1089722 2179444 2724305 3814027 4358888 5448610 7628054 8717776 10897220 15256108 19070135 21794440 26698189 30512216 38140270 43588880 53396378 61024432 76280540 106792756 133490945 152561080 213585512 266981890 305122160 427171024 533963780 1067927560 2135855120