Search a number
-
+
51135660 = 22325172983
BaseRepresentation
bin1100001100010…
…0010010101100
310120012221221100
43003010102230
5101042320120
65024003100
71160434362
oct303042254
9116187840
1051135660
1126956a84
1215160490
13a7952b4
146b11632
154751490
hex30c44ac

51135660 has 108 divisors (see below), whose sum is σ = 164940048. Its totient is φ = 12820992.

The previous prime is 51135659. The next prime is 51135683. The reversal of 51135660 is 6653115.

It is a happy number.

It is a super-2 number, since 2×511356602 = 5229711447271200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51529 + ... + 52511.

Almost surely, 251135660 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 51135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82470024).

51135660 is an abundant number, since it is smaller than the sum of its proper divisors (113804388).

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

51135660 is a wasteful number, since it uses less digits than its factorization.

51135660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51135660 is about 7150.9202205031. The cubic root of 51135660 is about 371.1714999144.

Adding to 51135660 its reverse (6653115), we get a palindrome (57788775).

The spelling of 51135660 in words is "fifty-one million, one hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 983 1020 1156 1445 1530 1734 1966 2601 2890 2949 3060 3468 3932 4335 4915 5202 5780 5898 8670 8847 9830 10404 11796 13005 14745 16711 17340 17694 19660 26010 29490 33422 35388 44235 50133 52020 58980 66844 83555 88470 100266 150399 167110 176940 200532 250665 284087 300798 334220 501330 568174 601596 751995 852261 1002660 1136348 1420435 1503990 1704522 2556783 2840870 3007980 3409044 4261305 5113566 5681740 8522610 10227132 12783915 17045220 25567830 51135660