Search a number
-
+
2020213000 = 235313198179
BaseRepresentation
bin111100001101010…
…0000000100001000
312012210101110020201
41320122200010020
513114133304000
6532244101544
7101030345551
oct17032400410
95183343221
102020213000
119473a2a23
124846948b4
13262703710
1415243b328
15bc55696a
hex786a0108

2020213000 has 128 divisors (see below), whose sum is σ = 5359536000. Its totient is φ = 706579200.

The previous prime is 2020212937. The next prime is 2020213021. The reversal of 2020213000 is 3120202.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 242911 + ... + 251089.

It is an arithmetic number, because the mean of its divisors is an integer number (41871375).

Almost surely, 22020213000 is an apocalyptic number.

2020213000 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 2020213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679768000).

2020213000 is an abundant number, since it is smaller than the sum of its proper divisors (3339323000).

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

2020213000 is a wasteful number, since it uses less digits than its factorization.

2020213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2020213000 is about 44946.7796399253. The cubic root of 2020213000 is about 1264.1512947806.

Adding to 2020213000 its reverse (3120202), we get a palindrome (2023333202).

The spelling of 2020213000 in words is "two billion, twenty million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 8179 9500 9880 12350 13000 16358 19000 24700 30875 32716 40895 49400 61750 65432 81790 106327 123500 155401 163580 204475 212654 247000 310802 327160 408950 425308 531635 621604 777005 817900 850616 1022375 1063270 1243208 1554010 1635800 2020213 2044750 2126540 2658175 3108020 3885025 4040426 4089500 4253080 5316350 6216040 7770050 8080852 8179000 10101065 10632700 13290875 15540100 16161704 19425125 20202130 21265400 26581750 31080200 38850250 40404260 50505325 53163500 77700500 80808520 101010650 106327000 155401000 202021300 252526625 404042600 505053250 1010106500 2020213000