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5139757140 = 2235723951203
BaseRepresentation
bin1001100100101101…
…00111100001010100
3111021012100201022120
410302112213201110
541011234212030
62210002455540
7241240133460
oct46226474124
914235321276
105139757140
1121a8293681
12bb53645b0
1363bab251b
1436a8814a0
15201361010
hex1325a7854

5139757140 has 96 divisors (see below), whose sum is σ = 16516362240. Its totient is φ = 1169863296.

The previous prime is 5139757111. The next prime is 5139757159. The reversal of 5139757140 is 417579315.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5139757092 and 5139757101.

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, 74779 + ... + 125981.

It is an arithmetic number, because the mean of its divisors is an integer number (172045440).

Almost surely, 25139757140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5139757140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258181120).

5139757140 is an abundant number, since it is smaller than the sum of its proper divisors (11376605100).

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

5139757140 is a wasteful number, since it uses less digits than its factorization.

5139757140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51461 (or 51459 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 5139757140 is about 71692.0995647359. The cubic root of 5139757140 is about 1725.7618579677.

The spelling of 5139757140 in words is "five billion, one hundred thirty-nine million, seven hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 14340 16730 20076 25095 33460 50190 51203 100380 102406 153609 204812 256015 307218 358421 512030 614436 716842 768045 1024060 1075263 1433684 1536090 1792105 2150526 3072180 3584210 4301052 5376315 7168420 10752630 12237517 21505260 24475034 36712551 48950068 61187585 73425102 85662619 122375170 146850204 171325238 183562755 244750340 256987857 342650476 367125510 428313095 513975714 734251020 856626190 1027951428 1284939285 1713252380 2569878570 5139757140