Search a number
-
+
2135004980 = 225891199441
BaseRepresentation
bin111111101000001…
…1001011100110100
312111210101111020112
41333100121130310
513333030124410
6551504322152
7103623146213
oct17720313464
95453344215
102135004980
119a6177929
124b7013358
13280425c74
1416379d07a
15c767e105
hex7f419734

2135004980 has 24 divisors (see below), whose sum is σ = 4533890760. Its totient is φ = 844405760.

The previous prime is 2135004979. The next prime is 2135005009. The reversal of 2135004980 is 894005312.

It can be written as a sum of positive squares in 4 ways, for example, as 195364 + 2134809616 = 442^2 + 46204^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597941 + ... + 601500.

It is an arithmetic number, because the mean of its divisors is an integer number (188912115).

Almost surely, 22135004980 is an apocalyptic number.

2135004980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135004980 is an abundant number, since it is smaller than the sum of its proper divisors (2398885780).

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

2135004980 is a wasteful number, since it uses less digits than its factorization.

2135004980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199539 (or 1199537 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2135004980 is about 46206.1140975954. The cubic root of 2135004980 is about 1287.6553327529.

The spelling of 2135004980 in words is "two billion, one hundred thirty-five million, four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 1199441 2398882 4797764 5997205 11994410 23988820 106750249 213500498 427000996 533751245 1067502490 2135004980