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2104134030 = 2335173731229
BaseRepresentation
bin111110101101010…
…1000100110001110
312102122022002021000
41331122220212032
513302124242110
6544442521130
7103066562355
oct17532504616
95378262230
102104134030
1198a802049
124a88061a6
13276c0772b
1415d64499c
15c4ad21c0
hex7d6a898e

2104134030 has 128 divisors (see below), whose sum is σ = 5961859200. Its totient is φ = 526252032.

The previous prime is 2104133987. The next prime is 2104134059. The reversal of 2104134030 is 304314012.

2104134030 is a `hidden beast` number, since 210 + 413 + 40 + 3 + 0 = 666.

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 = 2104133994 and 2104134012.

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 63 ways as a sum of consecutive naturals, for example, 1711456 + ... + 1712684.

It is an arithmetic number, because the mean of its divisors is an integer number (46577025).

Almost surely, 22104134030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980929600).

2104134030 is an abundant number, since it is smaller than the sum of its proper divisors (3857725170).

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

2104134030 is a wasteful number, since it uses less digits than its factorization.

2104134030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2104134030 is about 45870.8407378805. The cubic root of 2104134030 is about 1281.4189241324.

Adding to 2104134030 its reverse (304314012), we get a palindrome (2408448042).

The spelling of 2104134030 in words is "two billion, one hundred four million, one hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 373 459 510 746 765 918 1119 1229 1530 1865 2238 2295 2458 3357 3687 3730 4590 5595 6145 6341 6714 7374 10071 11061 11190 12290 12682 16785 18435 19023 20142 20893 22122 31705 33183 33570 36870 38046 41786 50355 55305 57069 62679 63410 66366 95115 100710 104465 110610 114138 125358 165915 171207 188037 190230 208930 285345 313395 331830 342414 376074 458417 564111 570690 626790 856035 916834 940185 1128222 1375251 1712070 1880370 2292085 2750502 2820555 4125753 4584170 5641110 6876255 7793089 8251506 12377259 13752510 15586178 20628765 23379267 24754518 38965445 41257530 46758534 61886295 70137801 77930890 116896335 123772590 140275602 210413403 233792670 350689005 420826806 701378010 1052067015 2104134030