Search a number
-
+
134008020 = 2234582721
BaseRepresentation
bin1111111110011…
…00110011010100
3100100011022110000
413333030303110
5233301224040
621144131300
73215022636
oct777146324
9310138400
10134008020
116970a233
1238a66b30
13219bcbb3
1413b24a56
15bb71130
hex7fcccd4

134008020 has 60 divisors (see below), whose sum is σ = 420393204. Its totient is φ = 35735040.

The previous prime is 134008019. The next prime is 134008031. The reversal of 134008020 is 20800431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 101243844 = 5724^2 + 10062^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134007984 and 134008002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39741 + ... + 42980.

Almost surely, 2134008020 is an apocalyptic number.

134008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134008020 is an abundant number, since it is smaller than the sum of its proper divisors (286385184).

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

134008020 is a wasteful number, since it uses less digits than its factorization.

134008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82742 (or 82731 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134008020 is about 11576.1833088458. The cubic root of 134008020 is about 511.7332034886.

Adding to 134008020 its reverse (20800431), we get a palindrome (154808451).

The spelling of 134008020 in words is "one hundred thirty-four million, eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 82721 165442 248163 330884 413605 496326 744489 827210 992652 1240815 1488978 1654420 2233467 2481630 2977956 3722445 4466934 4963260 6700401 7444890 8933868 11167335 13400802 14889780 22334670 26801604 33502005 44669340 67004010 134008020