Search a number
-
+
5671106000 = 24537537643
BaseRepresentation
bin1010100100000011…
…00011010111010000
3112122020012000220222
411102001203113100
543103300343000
62334423252212
7260351414510
oct52201432720
915566160828
105671106000
11245021196a
1211232aa068
136c4bc2531
143bb277840
15232d1ca85
hex1520635d0

5671106000 has 160 divisors (see below), whose sum is σ = 15969477888. Its totient is φ = 1907443200.

The previous prime is 5671105981. The next prime is 5671106033. The reversal of 5671106000 is 6011765.

It is a super-2 number, since 2×56711060002 = 64322886526472000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738179 + ... + 745821.

Almost surely, 25671106000 is an apocalyptic number.

5671106000 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 5671106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984738944).

5671106000 is an abundant number, since it is smaller than the sum of its proper divisors (10298371888).

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

5671106000 is a wasteful number, since it uses less digits than its factorization.

5671106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 5671106000 is about 75306.7460457561. The cubic root of 5671106000 is about 1783.2925214600.

Adding to 5671106000 its reverse (6011765), we get a palindrome (5677117765).

The spelling of 5671106000 in words is "five billion, six hundred seventy-one million, one hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 125 140 175 200 212 250 265 280 350 371 400 424 500 530 560 700 742 848 875 1000 1060 1325 1400 1484 1750 1855 2000 2120 2650 2800 2968 3500 3710 4240 5300 5936 6625 7000 7420 7643 9275 10600 13250 14000 14840 15286 18550 21200 26500 29680 30572 37100 38215 46375 53000 53501 61144 74200 76430 92750 106000 107002 122288 148400 152860 185500 191075 214004 267505 305720 371000 382150 405079 428008 535010 611440 742000 764300 810158 856016 955375 1070020 1337525 1528600 1620316 1910750 2025395 2140040 2675050 2835553 3057200 3240632 3821500 4050790 4280080 5350100 5671106 6481264 6687625 7643000 8101580 10126975 10700200 11342212 13375250 14177765 15286000 16203160 20253950 21400400 22684424 26750500 28355530 32406320 40507900 45368848 50634875 53501000 56711060 70888825 81015800 101269750 107002000 113422120 141777650 162031600 202539500 226844240 283555300 354444125 405079000 567110600 708888250 810158000 1134221200 1417776500 2835553000 5671106000