Search a number
-
+
1352113785 = 3251117413919
BaseRepresentation
bin101000010010111…
…1001111001111001
310111020020111102100
41100211321321321
510232120120120
6342100254013
745335530461
oct12045717171
93436214370
101352113785
11634262110
123189a1309
13187183539
14cb808ba1
157da86490
hex50979e79

1352113785 has 96 divisors (see below), whose sum is σ = 2773854720. Its totient is φ = 601804800.

The previous prime is 1352113769. The next prime is 1352113787. The reversal of 1352113785 is 5873112531.

It is a happy number.

It is not a de Polignac number, because 1352113785 - 24 = 1352113769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1352113787) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 343056 + ... + 346974.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 21352113785 is an apocalyptic number.

1352113785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352113785 is an abundant number, since it is smaller than the sum of its proper divisors (1421740935).

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

1352113785 is a wasteful number, since it uses less digits than its factorization.

1352113785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3996 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1352113785 is about 36771.0998611681. The cubic root of 1352113785 is about 1105.7859821635.

The spelling of 1352113785 in words is "one billion, three hundred fifty-two million, one hundred thirteen thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 41 45 51 55 85 99 123 153 165 187 205 255 369 451 495 561 615 697 765 935 1353 1683 1845 2091 2255 2805 3485 3919 4059 6273 6765 7667 8415 10455 11757 19595 20295 23001 31365 35271 38335 43109 58785 66623 69003 115005 129327 160679 176355 199869 215545 333115 345015 387981 482037 599607 646635 732853 803395 999345 1446111 1767469 1939905 2198559 2410185 2731543 2998035 3664265 5302407 6595677 7230555 8194629 8837345 10992795 13657715 15907221 24583887 26512035 30046973 32978385 40973145 79536105 90140919 122919435 150234865 270422757 450704595 1352113785