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20114280 = 2332559947
BaseRepresentation
bin100110010111…
…0101101101000
31101211220121100
41030232231220
520122124110
61555041400
7332653134
oct114565550
941756540
1020114280
111039917a
1268a0260
134223454
1429583c4
151b74bc0
hex132eb68

20114280 has 96 divisors (see below), whose sum is σ = 66549600. Its totient is φ = 5267328.

The previous prime is 20114249. The next prime is 20114287. The reversal of 20114280 is 8241102.

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

It is not an unprimeable number, because it can be changed into a prime (20114287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20767 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (693225).

Almost surely, 220114280 is an apocalyptic number.

20114280 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 20114280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274800).

20114280 is an abundant number, since it is smaller than the sum of its proper divisors (46435320).

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

20114280 is a wasteful number, since it uses less digits than its factorization.

20114280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20114280 is about 4484.8946475921. The cubic root of 20114280 is about 271.9577861247.

Adding to 20114280 its reverse (8241102), we get a palindrome (28355382).

The spelling of 20114280 in words is "twenty million, one hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 947 1062 1180 1416 1770 1894 2124 2360 2655 2841 3540 3788 4248 4735 5310 5682 7080 7576 8523 9470 10620 11364 14205 17046 18940 21240 22728 28410 34092 37880 42615 55873 56820 68184 85230 111746 113640 167619 170460 223492 279365 335238 340920 446984 502857 558730 670476 838095 1005714 1117460 1340952 1676190 2011428 2234920 2514285 3352380 4022856 5028570 6704760 10057140 20114280