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2134765890 = 2325226710463
BaseRepresentation
bin111111100111101…
…1111000101000010
312111202221100021100
41333033133011002
513333000002030
6551455235230
7103621132155
oct17717370502
95452840240
102134765890
119a6024234
124b6b18b16
132803711aa
14163739c9c
15c7633360
hex7f3df142

2134765890 has 48 divisors (see below), whose sum is σ = 5553370368. Its totient is φ = 568965408.

The previous prime is 2134765883. The next prime is 2134765891. The reversal of 2134765890 is 985674312.

2134765890 is a `hidden beast` number, since 21 + 3 + 47 + 6 + 589 + 0 = 666.

2134765890 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2134765890 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2134765891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198799 + ... + 209261.

It is an arithmetic number, because the mean of its divisors is an integer number (115695216).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2134765890 = 4269531780, but 3⋅2134765890 = 6404297670 is not.

Almost surely, 22134765890 is an apocalyptic number.

2134765890 is an abundant number, since it is smaller than the sum of its proper divisors (3418604478).

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

2134765890 is a wasteful number, since it uses less digits than its factorization.

2134765890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2134765890 is about 46203.5268134371. The cubic root of 2134765890 is about 1287.6072646360.

The spelling of 2134765890 in words is "two billion, one hundred thirty-four million, seven hundred sixty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2267 4534 6801 10463 11335 13602 20403 20926 22670 31389 34005 40806 52315 62778 68010 94167 102015 104630 156945 188334 204030 313890 470835 941670 23719621 47439242 71158863 118598105 142317726 213476589 237196210 355794315 426953178 711588630 1067382945 2134765890