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20201280 = 2635111913
BaseRepresentation
bin100110100001…
…1111101000000
31102000022221120
41031003331000
520132420110
62000552240
7333464601
oct115037500
942008846
1020201280
1110448580
126922680
134253c28
14297bda8
151b90870
hex1343f40

20201280 has 112 divisors (see below), whose sum is σ = 70006464. Its totient is φ = 4894720.

The previous prime is 20201273. The next prime is 20201303. The reversal of 20201280 is 8210202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9604 + ... + 11516.

Almost surely, 220201280 is an apocalyptic number.

20201280 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 20201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003232).

20201280 is an abundant number, since it is smaller than the sum of its proper divisors (49805184).

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

20201280 is a wasteful number, since it uses less digits than its factorization.

20201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20201280 is about 4494.5834067241. The cubic root of 20201280 is about 272.3493205068.

Adding to 20201280 its reverse (8210202), we get a palindrome (28411482).

The spelling of 20201280 in words is "twenty million, two hundred one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 1913 2112 2640 3520 3826 5280 5739 7652 9565 10560 11478 15304 19130 21043 22956 28695 30608 38260 42086 45912 57390 61216 63129 76520 84172 91824 105215 114780 122432 126258 153040 168344 183648 210430 229560 252516 306080 315645 336688 367296 420860 459120 505032 612160 631290 673376 841720 918240 1010064 1262580 1346752 1683440 1836480 2020128 2525160 3366880 4040256 5050320 6733760 10100640 20201280