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5232173130 = 234517616229
BaseRepresentation
bin1001101111101110…
…01010000001001010
3111111122020221020000
410313313022001022
541203414020010
62223103343430
7243441511032
oct46767120112
914448227200
105232173130
112245475128
1210202b1b76
13654c9c042
14378c5a8c2
152095187c0
hex137dca04a

5232173130 has 160 divisors (see below), whose sum is σ = 15142937040. Its totient is φ = 1291438080.

The previous prime is 5232173117. The next prime is 5232173131. The reversal of 5232173130 is 313712325.

5232173130 is a `hidden beast` number, since 523 + 2 + 1 + 7 + 3 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1490037201 + 3742135929 = 38601^2 + 61173^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5232173094 and 5232173103.

It is not an unprimeable number, because it can be changed into a prime (5232173131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 836856 + ... + 843084.

Almost surely, 25232173130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5232173130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571468520).

5232173130 is an abundant number, since it is smaller than the sum of its proper divisors (9910763910).

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

5232173130 is a wasteful number, since it uses less digits than its factorization.

5232173130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5232173130 is about 72333.7620340599. The cubic root of 5232173130 is about 1736.0438955981.

Adding to 5232173130 its reverse (313712325), we get a palindrome (5545885455).

The spelling of 5232173130 in words is "five billion, two hundred thirty-two million, one hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 81 85 90 102 122 135 153 162 170 183 255 270 305 306 366 405 459 510 549 610 765 810 915 918 1037 1098 1377 1530 1647 1830 2074 2295 2745 2754 3111 3294 4590 4941 5185 5490 6222 6229 6885 8235 9333 9882 10370 12458 13770 15555 16470 18666 18687 24705 27999 31110 31145 37374 46665 49410 55998 56061 62290 83997 93330 93435 105893 112122 139995 167994 168183 186870 211786 279990 280305 317679 336366 379969 419985 504549 529465 560610 635358 759938 839970 840915 953037 1009098 1058930 1139907 1588395 1681830 1899845 1906074 2279814 2522745 2859111 3176790 3419721 3799690 4765185 5045490 5699535 5718222 6459473 6839442 8577333 9530370 10259163 11399070 12918946 14295555 17098605 17154666 19378419 20518326 28591110 30777489 32297365 34197210 38756838 42886665 51295815 58135257 61554978 64594730 85773330 96892095 102591630 116270514 153887445 174405771 193784190 290676285 307774890 348811542 523217313 581352570 872028855 1046434626 1744057710 2616086565 5232173130