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2135550240 = 253251483021
BaseRepresentation
bin111111101001001…
…1110100100100000
312111211102012012100
41333102132210200
513333200101430
6551524130400
7103630606665
oct17722364440
95454365170
102135550240
119a650a55a
124b7236a00
132805871c5
141638a1a6c
15c773a960
hex7f49e920

2135550240 has 72 divisors (see below), whose sum is σ = 7287570108. Its totient is φ = 569479680.

The previous prime is 2135550203. The next prime is 2135550259. The reversal of 2135550240 is 420555312.

It is a happy number.

2135550240 is a `hidden beast` number, since 21 + 355 + 50 + 240 = 666.

2135550240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2135548944 + 1296 = 46212^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740071 + ... + 742950.

Almost surely, 22135550240 is an apocalyptic number.

2135550240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135550240 is an abundant number, since it is smaller than the sum of its proper divisors (5152019868).

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

2135550240 is a wasteful number, since it uses less digits than its factorization.

2135550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483042 (or 1483031 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2135550240 is about 46212.0140223297. The cubic root of 2135550240 is about 1287.7649417376.

The spelling of 2135550240 in words is "two billion, one hundred thirty-five million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1483021 2966042 4449063 5932084 7415105 8898126 11864168 13347189 14830210 17796252 22245315 23728336 26694378 29660420 35592504 44490630 47456672 53388756 59320840 66735945 71185008 88981260 106777512 118641680 133471890 142370016 177962520 213555024 237283360 266943780 355925040 427110048 533887560 711850080 1067775120 2135550240