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5814013700 = 2252112617877
BaseRepresentation
bin1010110101000101…
…01100111100000100
3120000012002111102202
411122202230330010
543401341414300
62400530254032
7264035205155
oct53242547404
916005074382
105814013700
11251394a600
121163127318
137186aa1c1
143d223792c
1524064aad5
hex15a8acf04

5814013700 has 108 divisors (see below), whose sum is σ = 14096751396. Its totient is φ = 2079264000.

The previous prime is 5814013649. The next prime is 5814013717. The reversal of 5814013700 is 73104185.

It can be written as a sum of positive squares in 6 ways, for example, as 2051908804 + 3762104896 = 45298^2 + 61336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734162 + ... + 742038.

Almost surely, 25814013700 is an apocalyptic number.

5814013700 is a gapful number since it is divisible by the number (50) 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 5814013700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048375698).

5814013700 is an abundant number, since it is smaller than the sum of its proper divisors (8282737696).

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

5814013700 is a wasteful number, since it uses less digits than its factorization.

5814013700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5814013700 is about 76249.6799993285. The cubic root of 5814013700 is about 1798.1476520488.

Adding to 5814013700 its reverse (73104185), we get a palindrome (5887117885).

The spelling of 5814013700 in words is "five billion, eight hundred fourteen million, thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 484 550 605 610 671 1100 1210 1220 1342 1525 2420 2684 3025 3050 3355 6050 6100 6710 7381 7877 12100 13420 14762 15754 16775 29524 31508 33550 36905 39385 67100 73810 78770 86647 147620 157540 173294 184525 196925 346588 369050 393850 433235 480497 738100 787700 866470 953117 960994 1732940 1906234 1921988 2166175 2402485 3812468 4332350 4765585 4804970 5285467 8664700 9531170 9609940 10570934 12012425 19062340 21141868 23827925 24024850 26427335 47655850 48049700 52854670 58140137 95311700 105709340 116280274 132136675 232560548 264273350 290700685 528546700 581401370 1162802740 1453503425 2907006850 5814013700