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2135876490 = 2325112157451
BaseRepresentation
bin111111101001110…
…1110001110001010
312111212000202201200
41333103232032022
513333241021430
6551535125030
7103633436106
oct17723561612
95455022650
102135876490
119a6712690
124b7373776
1328066c857
14163948906
15c77a2460
hex7f4ee38a

2135876490 has 48 divisors (see below), whose sum is σ = 6058125216. Its totient is φ = 517788000.

The previous prime is 2135876461. The next prime is 2135876527. The reversal of 2135876490 is 946785312.

2135876490 is a `hidden beast` number, since 2 + 1 + 3 + 587 + 64 + 9 + 0 = 666.

2135876490 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).

2135876490 is strictly pandigital in base 10.

It is a Curzon number.

It is an unprimeable number.

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, 1077736 + ... + 1079715.

It is an arithmetic number, because the mean of its divisors is an integer number (126210942).

It is a 1-persistent number, because it is pandigital, but 2⋅2135876490 = 4271752980 is not.

Almost surely, 22135876490 is an apocalyptic number.

2135876490 is an abundant number, since it is smaller than the sum of its proper divisors (3922248726).

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

2135876490 is a wasteful number, since it uses less digits than its factorization.

2135876490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157475 (or 2157472 counting only the distinct ones).

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

The square root of 2135876490 is about 46215.5438137430. The cubic root of 2135876490 is about 1287.8305160818.

The spelling of 2135876490 in words is "two billion, one hundred thirty-five million, eight hundred seventy-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2157451 4314902 6472353 10787255 12944706 19417059 21574510 23731961 32361765 38834118 47463922 64723530 71195883 97085295 118659805 142391766 194170590 213587649 237319610 355979415 427175298 711958830 1067938245 2135876490