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20007720 = 23325149373
BaseRepresentation
bin100110001010…
…0101100101000
31101122111102200
41030110230220
520110221340
61552500200
7332030355
oct114245450
941574380
1020007720
1110326107
12684a660
1341b6ab5
14292b62c
151b53330
hex1314b28

20007720 has 96 divisors (see below), whose sum is σ = 65637000. Its totient is φ = 5285376.

The previous prime is 20007719. The next prime is 20007721. The reversal of 20007720 is 2770002.

It is an interprime number because it is at equal distance from previous prime (20007719) and next prime (20007721).

It can be written as a sum of positive squares in 4 ways, for example, as 12489156 + 7518564 = 3534^2 + 2742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20007693 and 20007702.

It is not an unprimeable number, because it can be changed into a prime (20007721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53454 + ... + 53826.

Almost surely, 220007720 is an apocalyptic number.

20007720 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 20007720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818500).

20007720 is an abundant number, since it is smaller than the sum of its proper divisors (45629280).

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

20007720 is a wasteful number, since it uses less digits than its factorization.

20007720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 20007720 is about 4472.9989939637. The cubic root of 20007720 is about 271.4766826734.

Adding to 20007720 its reverse (2770002), we get a palindrome (22777722).

The spelling of 20007720 in words is "twenty million, seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 373 447 596 745 746 894 1119 1192 1341 1490 1492 1788 1865 2235 2238 2682 2980 2984 3357 3576 3730 4470 4476 5364 5595 5960 6705 6714 7460 8940 8952 10728 11190 13410 13428 14920 16785 17880 22380 26820 26856 33570 44760 53640 55577 67140 111154 134280 166731 222308 277885 333462 444616 500193 555770 666924 833655 1000386 1111540 1333848 1667310 2000772 2223080 2500965 3334620 4001544 5001930 6669240 10003860 20007720