Search a number
-
+
2045013000 = 23353719601
BaseRepresentation
bin111100111100100…
…0110110000001000
312021112001102110020
41321321012300020
513142010404000
6534531420440
7101451216012
oct17171066010
95245042406
102045013000
1195a3a1598
12490a54720
132678a7884
141558551b2
15be804ba0
hex79e46c08

2045013000 has 128 divisors (see below), whose sum is σ = 6470979840. Its totient is φ = 537600000.

The previous prime is 2045012947. The next prime is 2045013023. The reversal of 2045013000 is 3105402.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 208200 + ... + 217800.

It is an arithmetic number, because the mean of its divisors is an integer number (50554530).

Almost surely, 22045013000 is an apocalyptic number.

2045013000 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 2045013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235489920).

2045013000 is an abundant number, since it is smaller than the sum of its proper divisors (4425966840).

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

2045013000 is a wasteful number, since it uses less digits than its factorization.

2045013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2045013000 is about 45221.8199545308. The cubic root of 2045013000 is about 1269.3031496478.

Adding to 2045013000 its reverse (3105402), we get a palindrome (2048118402).

The spelling of 2045013000 in words is "two billion, forty-five million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 9601 10650 14200 17750 19202 21300 26625 28803 35500 38404 42600 48005 53250 57606 71000 76808 96010 106500 115212 144015 192020 213000 230424 240025 288030 384040 480050 576060 681671 720075 960100 1152120 1200125 1363342 1440150 1920200 2045013 2400250 2726684 2880300 3408355 3600375 4090026 4800500 5453368 5760600 6816710 7200750 8180052 9601000 10225065 13633420 14401500 16360104 17041775 20450130 27266840 28803000 34083550 40900260 51125325 68167100 81800520 85208875 102250650 136334200 170417750 204501300 255626625 340835500 409002600 511253250 681671000 1022506500 2045013000