Search a number
-
+
2078216680 = 235173056201
BaseRepresentation
bin111101111011111…
…0001000111101000
312100211112100100011
41323313301013220
513224010413210
6542115221304
7102333356521
oct17367610750
95324470304
102078216680
1197710aa51
1249bba7834
13271731b17
1415a019848
15c26b2d8a
hex7bdf11e8

2078216680 has 32 divisors (see below), whose sum is σ = 4951047240. Its totient is φ = 782387200.

The previous prime is 2078216677. The next prime is 2078216711. The reversal of 2078216680 is 866128702.

It can be written as a sum of positive squares in 4 ways, for example, as 1264940356 + 813276324 = 35566^2 + 28518^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1527421 + ... + 1528780.

Almost surely, 22078216680 is an apocalyptic number.

2078216680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078216680 is an abundant number, since it is smaller than the sum of its proper divisors (2872830560).

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

2078216680 is a wasteful number, since it uses less digits than its factorization.

2078216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056229 (or 3056225 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 2078216680 is about 45587.4618727562. The cubic root of 2078216680 is about 1276.1359462472.

The spelling of 2078216680 in words is "two billion, seventy-eight million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3056201 6112402 12224804 15281005 24449608 30562010 51955417 61124020 103910834 122248040 207821668 259777085 415643336 519554170 1039108340 2078216680