Search a number
-
+
2630312532 = 2232674912221
BaseRepresentation
bin1001110011000111…
…0110001001010100
320210022101201110200
42130301312021110
520341330000112
61113000420500
7122116200441
oct23461661124
96708351420
102630312532
11112a819811
12614a77730
1332bc27263
141ad4929c8
15105dbbcdc
hex9cc76254

2630312532 has 72 divisors (see below), whose sum is σ = 6764870112. Its totient is φ = 861537600.

The previous prime is 2630312527. The next prime is 2630312533. The reversal of 2630312532 is 2352130362.

2630312532 is a `hidden beast` number, since 2 + 630 + 3 + 1 + 25 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2630312496 and 2630312505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630312533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183182 + ... + 1185402.

Almost surely, 22630312532 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 2630312532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382435056).

2630312532 is an abundant number, since it is smaller than the sum of its proper divisors (4134557580).

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

2630312532 is a wasteful number, since it uses less digits than its factorization.

2630312532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2630312532 is about 51286.5726287105. The cubic root of 2630312532 is about 1380.3920562186.

Adding to 2630312532 its reverse (2352130362), we get a palindrome (4982442894).

The spelling of 2630312532 in words is "two billion, six hundred thirty million, three hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 491 603 804 982 1206 1473 1964 2221 2412 2946 4419 4442 5892 6663 8838 8884 13326 17676 19989 26652 32897 39978 65794 79956 98691 131588 148807 197382 296073 297614 394764 446421 592146 595228 892842 1090511 1184292 1339263 1785684 2181022 2678526 3271533 4362044 5357052 6543066 9814599 13086132 19629198 39258396 73064237 146128474 219192711 292256948 438385422 657578133 876770844 1315156266 2630312532