Search a number
-
+
665083146 = 237131779907
BaseRepresentation
bin100111101001000…
…101110100001010
31201100110201120010
4213221011310022
52330230130041
6145555012350
722324053630
oct4751056412
91640421503
10665083146
113114708a2
1216689a0b6
13a7a35430
1464489350
153d5c6a16
hex27a45d0a

665083146 has 128 divisors (see below), whose sum is σ = 1757306880. Its totient is φ = 162819072.

The previous prime is 665083127. The next prime is 665083147. The reversal of 665083146 is 641380566.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (665083147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732825 + ... + 733731.

It is an arithmetic number, because the mean of its divisors is an integer number (13728960).

Almost surely, 2665083146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665083146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878653440).

665083146 is an abundant number, since it is smaller than the sum of its proper divisors (1092223734).

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

665083146 is a wasteful number, since it uses less digits than its factorization.

665083146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 665083146 is about 25789.2059978589. The cubic root of 665083146 is about 872.8882500186. Note that the first 3 decimals are identical.

Subtracting from 665083146 its product of nonzero digits (103680), we obtain a palindrome (664979466).

The spelling of 665083146 in words is "six hundred sixty-five million, eighty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 79 91 102 119 158 182 221 237 238 273 357 442 474 546 553 663 714 907 1027 1106 1326 1343 1547 1659 1814 2054 2686 2721 3081 3094 3318 4029 4641 5442 6162 6349 7189 8058 9282 9401 11791 12698 14378 15419 17459 18802 19047 21567 23582 28203 30838 34918 35373 38094 43134 46257 52377 56406 70746 71653 82537 92514 104754 107933 122213 143306 165074 200447 214959 215866 244426 247611 323799 366639 400894 429918 495222 501571 601341 647598 733278 931489 1003142 1202682 1218101 1403129 1504713 1862978 2436202 2794467 2806258 3009426 3654303 4209387 5588934 6520423 7308606 8418774 8526707 13040846 15835313 17053414 19561269 25580121 31670626 39122538 47505939 51160242 95011878 110847191 221694382 332541573 665083146