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2134856790 = 233511718807
BaseRepresentation
bin111111100111111…
…0101010001010110
312111210002221222000
41333033311101112
513333010404130
6551501220130
7103621661163
oct17717652126
95453087860
102134856790
119a6086560
124b6b61646
132803a3691
1416376106a
15c7650260
hex7f3f5456

2134856790 has 64 divisors (see below), whose sum is σ = 6210501120. Its totient is φ = 517540320.

The previous prime is 2134856783. The next prime is 2134856813. The reversal of 2134856790 is 976584312.

2134856790 is a `hidden beast` number, since 21 + 3 + 485 + 67 + 90 = 666.

2134856790 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21348567902 = 9115227027618208200, which contains 22 as substring.

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

2134856790 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356434 + ... + 362373.

It is an arithmetic number, because the mean of its divisors is an integer number (97039080).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2134856790 = 4269713580, but 3⋅2134856790 = 6404570370 is not.

Almost surely, 22134856790 is an apocalyptic number.

2134856790 is an abundant number, since it is smaller than the sum of its proper divisors (4075644330).

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

2134856790 is a wasteful number, since it uses less digits than its factorization.

2134856790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718834 (or 718828 counting only the distinct ones).

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

The square root of 2134856790 is about 46204.5104941065. The cubic root of 2134856790 is about 1287.6255401512.

The spelling of 2134856790 in words is "two billion, one hundred thirty-four million, eight hundred fifty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 718807 1437614 2156421 3594035 4312842 6469263 7188070 7906877 10782105 12938526 15813754 19407789 21564210 23720631 32346315 38815578 39534385 47441262 64692630 71161893 79068770 97038945 118603155 142323786 194077890 213485679 237206310 355809465 426971358 711618930 1067428395 2134856790