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20145020 = 2257373889
BaseRepresentation
bin100110011011…
…0001101111100
31101220110202212
41030312031330
520124120040
61555435552
7333141560
oct114661574
941813685
1020145020
111040a285
1268b5bb8
13423443c
1429656a0
151b7dd65
hex133637c

20145020 has 48 divisors (see below), whose sum is σ = 49667520. Its totient is φ = 6718464.

The previous prime is 20144989. The next prime is 20145029. The reversal of 20145020 is 2054102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20144986 and 20145004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145029) 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, 3236 + ... + 7124.

It is an arithmetic number, because the mean of its divisors is an integer number (1034740).

Almost surely, 220145020 is an apocalyptic number.

20145020 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 20145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24833760).

20145020 is an abundant number, since it is smaller than the sum of its proper divisors (29522500).

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

20145020 is a wasteful number, since it uses less digits than its factorization.

20145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 20145020 is about 4488.3203985455. The cubic root of 20145020 is about 272.0962570219.

Adding to 20145020 its reverse (2054102), we get a palindrome (22199122).

The spelling of 20145020 in words is "twenty million, one hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 3889 5180 7778 15556 19445 27223 38890 54446 77780 108892 136115 143893 272230 287786 544460 575572 719465 1007251 1438930 2014502 2877860 4029004 5036255 10072510 20145020