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20123280 = 24325191471
BaseRepresentation
bin100110011000…
…0111010010000
31101212100221200
41030300322100
520122421110
61555151200
7333021312
oct114607220
941770850
1020123280
11103a4a11
1268a5500
134227588
14295b7b2
151b776c0
hex1330e90

20123280 has 120 divisors (see below), whose sum is σ = 71185920. Its totient is φ = 5080320.

The previous prime is 20123273. The next prime is 20123287. The reversal of 20123280 is 8232102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20123273) and next prime (20123287).

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 not an unprimeable number, because it can be changed into a prime (20123287) 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, 12945 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (593216).

Almost surely, 220123280 is an apocalyptic number.

20123280 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 20123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35592960).

20123280 is an abundant number, since it is smaller than the sum of its proper divisors (51062640).

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

20123280 is a wasteful number, since it uses less digits than its factorization.

20123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20123280 is about 4485.8979034303. The cubic root of 20123280 is about 271.9983419737.

Adding to 20123280 its reverse (8232102), we get a palindrome (28355382).

The spelling of 20123280 in words is "twenty million, one hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1471 1520 1710 2280 2736 2942 3420 4413 4560 5884 6840 7355 8826 11768 13239 13680 14710 17652 22065 23536 26478 27949 29420 35304 44130 52956 55898 58840 66195 70608 83847 88260 105912 111796 117680 132390 139745 167694 176520 211824 223592 251541 264780 279490 335388 353040 419235 447184 503082 529560 558980 670776 838470 1006164 1059120 1117960 1257705 1341552 1676940 2012328 2235920 2515410 3353880 4024656 5030820 6707760 10061640 20123280