Search a number
-
+
65700040 = 2357415997
BaseRepresentation
bin1111101010100…
…0000011001000
311120121220111211
43322220003020
5113304400130
610304102504
71425304210
oct372500310
9146556454
1065700040
11340a445a
121a004a34
13107c4583
148a23240
155b7ba2a
hex3ea80c8

65700040 has 128 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 21381120.

The previous prime is 65700023. The next prime is 65700059. The reversal of 65700040 is 4000756.

It is a junction number, because it is equal to n+sod(n) for n = 65699984 and 65700020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677272 + ... + 677368.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 265700040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

65700040 is an abundant number, since it is smaller than the sum of its proper divisors (112111160).

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

65700040 is a wasteful number, since it uses less digits than its factorization.

65700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 65700040 is about 8105.5561191074. The cubic root of 65700040 is about 403.5108447668.

Adding to 65700040 its reverse (4000756), we get a palindrome (69700796).

The spelling of 65700040 in words is "sixty-five million, seven hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 59 70 82 97 118 140 164 194 205 236 280 287 295 328 388 410 413 472 485 574 590 679 776 820 826 970 1148 1180 1358 1435 1640 1652 1940 2065 2296 2360 2419 2716 2870 3304 3395 3880 3977 4130 4838 5432 5723 5740 6790 7954 8260 9676 11446 11480 12095 13580 15908 16520 16933 19352 19885 22892 24190 27160 27839 28615 31816 33866 39770 40061 45784 48380 55678 57230 67732 79540 80122 84665 96760 111356 114460 135464 139195 159080 160244 169330 200305 222712 228920 234643 278390 320488 338660 400610 469286 556780 677320 801220 938572 1113560 1173215 1602440 1642501 1877144 2346430 3285002 4692860 6570004 8212505 9385720 13140008 16425010 32850020 65700040