Search a number
-
+
1930125645 = 33575389433
BaseRepresentation
bin111001100001011…
…0110000101001101
311222111212112122000
41303002312011031
512423103010040
6515305142513
765554540320
oct16302660515
94874775560
101930125645
11900561a68
1245a48aa39
13249b50aa6
141444aa7b7
15b46ae130
hex730b614d

1930125645 has 128 divisors (see below), whose sum is σ = 4049740800. Its totient is φ = 853991424.

The previous prime is 1930125607. The next prime is 1930125647. The reversal of 1930125645 is 5465210391.

1930125645 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 1 + 2 + 5 + 645 = 666.

It is not a de Polignac number, because 1930125645 - 214 = 1930109261 is a prime.

It is a super-3 number, since 3×19301256453 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930125647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4457349 + ... + 4457781.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 21930125645 is an apocalyptic number.

1930125645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1930125645 is an abundant number, since it is smaller than the sum of its proper divisors (2119615155).

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

1930125645 is a wasteful number, since it uses less digits than its factorization.

1930125645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1930125645 is about 43933.1952514269. The cubic root of 1930125645 is about 1245.0740847190.

The spelling of 1930125645 in words is "one billion, nine hundred thirty million, one hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 53 63 89 105 135 159 189 265 267 315 371 433 445 477 623 795 801 945 1113 1299 1335 1431 1855 1869 2165 2385 2403 3031 3115 3339 3897 4005 4717 5565 5607 6495 7155 9093 9345 10017 11691 12015 14151 15155 16695 16821 19485 22949 23585 27279 28035 33019 38537 42453 45465 50085 58455 68847 70755 81837 84105 99057 114745 115611 127359 136395 160643 165095 192685 206541 212265 269759 297171 344235 346833 409185 481929 495285 578055 619623 636795 803215 809277 891513 1032705 1040499 1348795 1445787 1485855 1734165 2042461 2409645 2427831 3098115 4046385 4337361 4457565 5202495 6127383 7228935 7283493 10212305 12139155 14297227 18382149 21686805 30636915 36417465 42891681 55146447 71486135 91910745 128675043 214458405 275732235 386025129 643375215 1930125645