Search a number
-
+
2134879650 = 2325237128221
BaseRepresentation
bin111111100111111…
…1010110110100010
312111210011010022200
41333033322312202
513333012122100
6551501514030
7103622114631
oct17717726642
95453133280
102134879650
119a60a1752
124b6b72916
132803b0bc7
14163769518
15c7656e00
hex7f3fada2

2134879650 has 72 divisors (see below), whose sum is σ = 5890775124. Its totient is φ = 553910400.

The previous prime is 2134879639. The next prime is 2134879651. The reversal of 2134879650 is 569784312.

2134879650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1236858561 + 898021089 = 35169^2 + 29967^2 .

It is a super-2 number, since 2×21348796502 = 9115422239968245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2134879650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2134879596 and 2134879605.

It is not an unprimeable number, because it can be changed into a prime (2134879651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47461 + ... + 80760.

It is a 1-persistent number, because it is pandigital, but 2⋅2134879650 = 4269759300 is not.

Almost surely, 22134879650 is an apocalyptic number.

2134879650 is an abundant number, since it is smaller than the sum of its proper divisors (3755895474).

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

2134879650 is a wasteful number, since it uses less digits than its factorization.

2134879650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128276 (or 128268 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2134879650 is about 46204.7578718902. The cubic root of 2134879650 is about 1287.6301360902.

The spelling of 2134879650 in words is "two billion, one hundred thirty-four million, eight hundred seventy-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 128221 256442 384663 641105 769326 1153989 1282210 1923315 2307978 3205525 3846630 4744177 5769945 6411050 9488354 9616575 11539890 14232531 19233150 23720885 28465062 28849725 42697593 47441770 57699450 71162655 85395186 118604425 142325310 213487965 237208850 355813275 426975930 711626550 1067439825 2134879650