Search a number
-
+
2706328400 = 245253127657
BaseRepresentation
bin1010000101001111…
…0100101101010000
320222121102201122012
42201103310231100
521020310002100
61124314002052
7124031261156
oct24123645520
96877381565
102706328400
111169719646
12636416328
133418c1069
141b95dd3d6
1510c8d5135
hexa14f4b50

2706328400 has 60 divisors (see below), whose sum is σ = 6624684252. Its totient is φ = 1062097920.

The previous prime is 2706328397. The next prime is 2706328433. The reversal of 2706328400 is 48236072.

It can be written as a sum of positive squares in 6 ways, for example, as 384630544 + 2321697856 = 19612^2 + 48184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42629 + ... + 85028.

Almost surely, 22706328400 is an apocalyptic number.

2706328400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2706328400 is an abundant number, since it is smaller than the sum of its proper divisors (3918355852).

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

2706328400 is a wasteful number, since it uses less digits than its factorization.

2706328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127728 (or 127717 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2706328400 is about 52022.3836439662. The cubic root of 2706328400 is about 1393.5637208730.

The spelling of 2706328400 in words is "two billion, seven hundred six million, three hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 127657 255314 510628 638285 1021256 1276570 2042512 2553140 3191425 5106280 6382850 6765821 10212560 12765700 13531642 25531400 27063284 33829105 51062800 54126568 67658210 108253136 135316420 169145525 270632840 338291050 541265680 676582100 1353164200 2706328400