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2730687232 = 28713251467
BaseRepresentation
bin1010001011000010…
…1111101100000000
321001022021021200011
42202300233230000
521043023442412
61130544034304
7124445313160
oct24260575400
97038237604
102730687232
111181446809
12642602994
1334696c480
141bc9405a0
1510eae77a7
hexa2c2fb00

2730687232 has 144 divisors (see below), whose sum is σ = 6749713152. Its totient is φ = 1073664000.

The previous prime is 2730687229. The next prime is 2730687233. The reversal of 2730687232 is 2327860372.

It is not an unprimeable number, because it can be changed into a prime (2730687233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847063 + ... + 5847529.

It is an arithmetic number, because the mean of its divisors is an integer number (46873008).

Almost surely, 22730687232 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 2730687232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374856576).

2730687232 is an abundant number, since it is smaller than the sum of its proper divisors (4019025920).

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

2730687232 is a wasteful number, since it uses less digits than its factorization.

2730687232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2730687232 is about 52255.9779546800. The cubic root of 2730687232 is about 1397.7322524508.

The spelling of 2730687232 in words is "two billion, seven hundred thirty million, six hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 251 256 364 416 448 467 502 728 832 896 934 1004 1456 1664 1757 1792 1868 2008 2912 3263 3269 3328 3514 3736 4016 5824 6071 6526 6538 7028 7472 8032 11648 12142 13052 13076 14056 14944 16064 22841 23296 24284 26104 26152 28112 29888 32128 42497 45682 48568 52208 52304 56224 59776 64256 84994 91364 97136 104416 104608 112448 117217 119552 169988 182728 194272 208832 209216 224896 234434 339976 365456 388544 417664 418432 449792 468868 679952 730912 777088 820519 835328 836864 937736 1359904 1461824 1523821 1554176 1641038 1875472 2719808 2923648 3047642 3282076 3750944 5439616 5847296 6095284 6564152 7501888 10666747 10879232 12190568 13128304 15003776 21333494 24381136 26256608 30007552 42666988 48762272 52513216 85333976 97524544 105026432 170667952 195049088 210052864 341335904 390098176 682671808 1365343616 2730687232