Search a number
-
+
1354005135 = 325731313443
BaseRepresentation
bin101000010110100…
…0111101010001111
310111100210120212100
41100231013222033
510233111131020
6342205010143
745360565560
oct12055075217
93440716770
101354005135
1163533410a
12319553953
13187696392
14cbb7c167
157dd0ba90
hex50b47a8f

1354005135 has 96 divisors (see below), whose sum is σ = 2783858688. Its totient is φ = 595745280.

The previous prime is 1354005131. The next prime is 1354005139. The reversal of 1354005135 is 5315004531.

1354005135 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1354005131) and next prime (1354005139).

It is not a de Polignac number, because 1354005135 - 22 = 1354005131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1354005099 and 1354005108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354005131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3056224 + ... + 3056666.

It is an arithmetic number, because the mean of its divisors is an integer number (28998528).

Almost surely, 21354005135 is an apocalyptic number.

1354005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1354005135 is an abundant number, since it is smaller than the sum of its proper divisors (1429853553).

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

1354005135 is a wasteful number, since it uses less digits than its factorization.

1354005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1354005135 is about 36796.8087610869. The cubic root of 1354005135 is about 1106.3013366964.

Adding to 1354005135 its reverse (5315004531), we get a palindrome (6669009666).

The spelling of 1354005135 in words is "one billion, three hundred fifty-four million, five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 313 315 443 465 651 939 1085 1329 1395 1565 1953 2191 2215 2817 3101 3255 3987 4695 6573 6645 9303 9703 9765 10955 13733 14085 15505 19719 19935 27909 29109 32865 41199 46515 48515 67921 68665 87327 96131 98595 123597 138659 139545 145545 203763 205995 288393 339605 415977 436635 480655 611289 617985 693295 865179 970613 1018815 1247931 1441965 2079885 2911839 3056445 4298429 4325895 4853065 6239655 8735517 12895287 14559195 21492145 30089003 38685861 43677585 64476435 90267009 150445015 193429305 270801027 451335045 1354005135