Search a number
-
+
2971045000 = 23547117717
BaseRepresentation
bin1011000100010110…
…1000110010001000
321200001112201112201
42301011220302020
522041041420000
61210451445544
7133424315530
oct26105506210
97601481481
102971045000
1112950940a0
126aabb68b4
133846b70c1
1420282a4c0
15125c7496a
hexb1168c88

2971045000 has 160 divisors (see below), whose sum is σ = 8679971520. Its totient is φ = 925920000.

The previous prime is 2971044961. The next prime is 2971045003. The reversal of 2971045000 is 5401792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2971045000.

It is not an unprimeable number, because it can be changed into a prime (2971045003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381142 + ... + 388858.

It is an arithmetic number, because the mean of its divisors is an integer number (54249822).

Almost surely, 22971045000 is an apocalyptic number.

2971045000 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 2971045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339985760).

2971045000 is an abundant number, since it is smaller than the sum of its proper divisors (5708926520).

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

2971045000 is a wasteful number, since it uses less digits than its factorization.

2971045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2971045000 is about 54507.2930900077. The cubic root of 2971045000 is about 1437.5945243451.

Adding to 2971045000 its reverse (5401792), we get a palindrome (2976446792).

The spelling of 2971045000 in words is "two billion, nine hundred seventy-one million, forty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 6875 7000 7700 7717 8750 9625 11000 13750 15400 15434 17500 19250 27500 30868 35000 38500 38585 48125 54019 55000 61736 77000 77170 84887 96250 108038 154340 169774 192500 192925 216076 270095 308680 339548 385000 385850 424435 432152 540190 594209 679096 771700 848870 964625 1080380 1188418 1350475 1543400 1697740 1929250 2122175 2160760 2376836 2700950 2971045 3395480 3858500 4244350 4753672 4823125 5401900 5942090 6752375 7717000 8488700 9646250 10610875 10803800 11884180 13504750 14855225 16977400 19292500 21221750 23768360 27009500 29710450 33761875 38585000 42443500 53054375 54019000 59420900 67523750 74276125 84887000 106108750 118841800 135047500 148552250 212217500 270095000 297104500 371380625 424435000 594209000 742761250 1485522500 2971045000