Search a number
-
+
20001020 = 22513431789
BaseRepresentation
bin100110001001…
…1000011111100
31101122011020112
41030103003330
520110013040
61552405152
7332002004
oct114230374
941564215
1020001020
1110321076
1268467b8
1341b3a30
142929004
151b51365
hex13130fc

20001020 has 48 divisors (see below), whose sum is σ = 46310880. Its totient is φ = 7209216.

The previous prime is 20001019. The next prime is 20001029. The reversal of 20001020 is 2010002.

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 = 20000995 and 20001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10286 + ... + 12074.

It is an arithmetic number, because the mean of its divisors is an integer number (964810).

Almost surely, 220001020 is an apocalyptic number.

20001020 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 20001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155440).

20001020 is an abundant number, since it is smaller than the sum of its proper divisors (26309860).

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

20001020 is a wasteful number, since it uses less digits than its factorization.

20001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1852 counting only the distinct ones).

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

The square root of 20001020 is about 4472.2499930125. The cubic root of 20001020 is about 271.4463760910.

Adding to 20001020 its reverse (2010002), we get a palindrome (22011022).

The spelling of 20001020 in words is "twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 1789 2236 2795 3578 5590 7156 8945 11180 17890 23257 35780 46514 76927 93028 116285 153854 232570 307708 384635 465140 769270 1000051 1538540 2000102 4000204 5000255 10000510 20001020