Search a number
-
+
2729154840 = 23351710712503
BaseRepresentation
bin1010001010101011…
…1001100100011000
321001012101102121220
42202222321210120
521042130423330
61130451132040
7124426301436
oct24252714430
97035342556
102729154840
11118059a475
12641ba4020
13346553b29
141bc661d56
1510e8e3710
hexa2ab9918

2729154840 has 128 divisors (see below), whose sum is σ = 8750799360. Its totient is φ = 678508544.

The previous prime is 2729154839. The next prime is 2729154887. The reversal of 2729154840 is 484519272.

It is a super-2 number, since 2×27291548402 = 14896572281390851200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2729154792 and 2729154801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212029 + ... + 224531.

It is an arithmetic number, because the mean of its divisors is an integer number (68365620).

Almost surely, 22729154840 is an apocalyptic number.

2729154840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729154840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375399680).

2729154840 is an abundant number, since it is smaller than the sum of its proper divisors (6021644520).

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

2729154840 is a wasteful number, since it uses less digits than its factorization.

2729154840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2729154840 is about 52241.3135363191. The cubic root of 2729154840 is about 1397.4707463024.

The spelling of 2729154840 in words is "two billion, seven hundred twenty-nine million, one hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 321 340 408 428 510 535 642 680 856 1020 1070 1284 1605 1819 2040 2140 2568 3210 3638 4280 5457 6420 7276 9095 10914 12503 12840 14552 18190 21828 25006 27285 36380 37509 43656 50012 54570 62515 72760 75018 100024 109140 125030 150036 187545 212551 218280 250060 300072 375090 425102 500120 637653 750180 850204 1062755 1275306 1337821 1500360 1700408 2125510 2550612 2675642 3188265 4013463 4251020 5101224 5351284 6376530 6689105 8026926 8502040 10702568 12753060 13378210 16053852 20067315 22742957 25506120 26756420 32107704 40134630 45485914 53512840 68228871 80269260 90971828 113714785 136457742 160538520 181943656 227429570 272915484 341144355 454859140 545830968 682288710 909718280 1364577420 2729154840