Search a number
-
+
2154301984 = 251377012
BaseRepresentation
bin1000000001101000…
…0000101000100000
312120010200212202101
42000122000220200
513403000130414
6553434100144
7104246156542
oct20032005040
95503625671
102154301984
11a06057a6a
1250157a654
13284421403
14166183692
15c91e1a74
hex80680a20

2154301984 has 36 divisors (see below), whose sum is σ = 4278343482. Its totient is φ = 1067763200.

The previous prime is 2154301957. The next prime is 2154301993. The reversal of 2154301984 is 4891034512.

It can be written as a sum of positive squares in 3 ways, for example, as 2147395600 + 6906384 = 46340^2 + 2628^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3072834 + ... + 3073534.

Almost surely, 22154301984 is an apocalyptic number.

It is an amenable number.

2154301984 is a deficient number, since it is larger than the sum of its proper divisors (2124041498).

2154301984 is an frugal number, since it uses more digits than its factorization.

2154301984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2154301984 is about 46414.4587817202. The cubic root of 2154301984 is about 1291.5231460784.

The spelling of 2154301984 in words is "two billion, one hundred fifty-four million, three hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 137 274 548 701 1096 1402 2192 2804 4384 5608 11216 22432 96037 192074 384148 491401 768296 982802 1536592 1965604 3073184 3931208 7862416 15724832 67321937 134643874 269287748 538575496 1077150992 2154301984