Search a number
-
+
20010020 = 22517229257
BaseRepresentation
bin100110001010…
…1010000100100
31101122121120212
41030111100210
520110310040
61552514552
7332040152
oct114252044
941577525
1020010020
1110327908
12684ba58
1341b7b64
14292c3d2
151b53d65
hex1315424

20010020 has 48 divisors (see below), whose sum is σ = 44861040. Its totient is φ = 7471104.

The previous prime is 20010017. The next prime is 20010041. The reversal of 20010020 is 2001002.

It can be written as a sum of positive squares in 8 ways, for example, as 7661824 + 12348196 = 2768^2 + 3514^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 20009986 and 20010013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77732 + ... + 77988.

It is an arithmetic number, because the mean of its divisors is an integer number (934605).

Almost surely, 220010020 is an apocalyptic number.

20010020 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 20010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430520).

20010020 is an abundant number, since it is smaller than the sum of its proper divisors (24851020).

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

20010020 is a wasteful number, since it uses less digits than its factorization.

20010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 20010020 is about 4473.2560847776. The cubic root of 20010020 is about 271.4870848656.

Adding to 20010020 its reverse (2001002), we get a palindrome (22011022).

The spelling of 20010020 in words is "twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 257 340 458 514 916 1028 1145 1285 2290 2570 3893 4369 4580 5140 7786 8738 15572 17476 19465 21845 38930 43690 58853 77860 87380 117706 235412 294265 588530 1000501 1177060 2001002 4002004 5002505 10005010 20010020