Search a number
-
+
8130483405 = 3351173179419
BaseRepresentation
bin1111001001001110…
…10101010011001101
3202222121221100111000
413210213111103031
5113122400432110
63422440250513
7405323653152
oct74447252315
922877840430
108130483405
1134a249a580
1216aaa70a39
139c759a935
14571b52229
15328bc21c0
hex1e49d54cd

8130483405 has 128 divisors (see below), whose sum is σ = 16111872000. Its totient is φ = 3857103360.

The previous prime is 8130483397. The next prime is 8130483407. The reversal of 8130483405 is 5043840318.

8130483405 is a `hidden beast` number, since 8 + 1 + 304 + 8 + 340 + 5 = 666.

It is not a de Polignac number, because 8130483405 - 23 = 8130483397 is a prime.

It is a super-2 number, since 2×81304834052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8130483405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130483407) 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, 19404286 + ... + 19404704.

It is an arithmetic number, because the mean of its divisors is an integer number (125874000).

Almost surely, 28130483405 is an apocalyptic number.

It is an amenable number.

8130483405 is a deficient number, since it is larger than the sum of its proper divisors (7981388595).

8130483405 is a wasteful number, since it uses less digits than its factorization.

8130483405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8130483405 is about 90169.1932147560. The cubic root of 8130483405 is about 2010.8150292397.

The spelling of 8130483405 in words is "eight billion, one hundred thirty million, four hundred eighty-three thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 73 99 135 165 179 219 297 365 419 495 537 657 803 895 1095 1257 1485 1611 1969 1971 2095 2409 2685 3285 3771 4015 4609 4833 5907 6285 7227 8055 9845 9855 11313 12045 13067 13827 17721 18855 21681 23045 24165 29535 30587 36135 39201 41481 53163 56565 65335 69135 75001 88605 91761 108405 117603 124443 143737 152935 196005 207405 225003 265815 275283 336457 352809 375005 431211 458805 588015 622215 675009 718685 825011 825849 1009371 1125015 1293633 1376415 1682285 1764045 2025027 2156055 2475033 3028113 3375045 3880899 4125055 4129245 5046855 5475073 6468165 7425099 9084339 10125135 12375165 15140565 16425219 19404495 22275297 27375365 37125495 45421695 49275657 60225803 82126095 111376485 147826971 180677409 246378285 301129015 542032227 739134855 903387045 1626096681 2710161135 8130483405