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20260023120 = 24325113249017
BaseRepresentation
bin10010110111100101…
…110110101101010000
31221021221210210220200
4102313211312231100
5312443031214440
613150214335200
71315030232541
oct226745665520
957257723820
1020260023120
118657289267
123b1505a500
131bab51957c
14da2a504c8
157d89cec30
hex4b7976b50

20260023120 has 120 divisors (see below), whose sum is σ = 68642309736. Its totient is φ = 5354840064.

The previous prime is 20260023097. The next prime is 20260023127. The reversal of 20260023120 is 2132006202.

20260023120 is a `hidden beast` number, since 20 + 2 + 600 + 23 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2791642896 + 17468380224 = 52836^2 + 132168^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 20260023093 and 20260023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20260023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43149 + ... + 205868.

Almost surely, 220260023120 is an apocalyptic number.

20260023120 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 20260023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34321154868).

20260023120 is an abundant number, since it is smaller than the sum of its proper divisors (48382286616).

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

20260023120 is a wasteful number, since it uses less digits than its factorization.

20260023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249149 (or 249140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20260023120 its reverse (2132006202), we get a palindrome (22392029322).

The spelling of 20260023120 in words is "twenty billion, two hundred sixty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 904 1017 1130 1356 1695 1808 2034 2260 2712 3390 4068 4520 5085 5424 6780 8136 9040 10170 13560 16272 20340 27120 40680 81360 249017 498034 747051 996068 1245085 1494102 1992136 2241153 2490170 2988204 3735255 3984272 4482306 4980340 5976408 7470510 8964612 9960680 11205765 11952816 14941020 17929224 19921360 22411530 28138921 29882040 35858448 44823060 56277842 59764080 84416763 89646120 112555684 140694605 168833526 179292240 225111368 253250289 281389210 337667052 422083815 450222736 506500578 562778420 675334104 844167630 1013001156 1125556840 1266251445 1350668208 1688335260 2026002312 2251113680 2532502890 3376670520 4052004624 5065005780 6753341040 10130011560 20260023120