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2134578690 = 23357905847
BaseRepresentation
bin111111100111011…
…0001011000000010
312111202120211111000
41333032301120002
513332423004230
6551451232430
7103616422326
oct17716613002
95452524430
102134578690
119a5a06622
124b6a48716
13280306c1a
141636cb986
15c75e7b60
hex7f3b1602

2134578690 has 32 divisors (see below), whose sum is σ = 5692210560. Its totient is φ = 569220912.

The previous prime is 2134578689. The next prime is 2134578697. The reversal of 2134578690 is 968754312.

2134578690 is a `hidden beast` number, since 2 + 13 + 4 + 578 + 69 + 0 = 666.

2134578690 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 2×21345786902 = 9112852367604232200, which contains 22 as substring.

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

2134578690 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2134578697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3952654 + ... + 3953193.

It is an arithmetic number, because the mean of its divisors is an integer number (177881580).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2134578690 = 4269157380, but 3⋅2134578690 = 6403736070 is not.

Almost surely, 22134578690 is an apocalyptic number.

2134578690 is an abundant number, since it is smaller than the sum of its proper divisors (3557631870).

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

2134578690 is a wasteful number, since it uses less digits than its factorization.

2134578690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905863 (or 7905857 counting only the distinct ones).

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

The square root of 2134578690 is about 46201.5009496445. The cubic root of 2134578690 is about 1287.5696262972.

The spelling of 2134578690 in words is "two billion, one hundred thirty-four million, five hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7905847 15811694 23717541 39529235 47435082 71152623 79058470 118587705 142305246 213457869 237175410 355763115 426915738 711526230 1067289345 2134578690