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20890080 = 2532589163
BaseRepresentation
bin100111110110…
…0000111100000
31110022022210200
41033230013200
520321440310
62023425200
7342364011
oct117540740
943268720
1020890080
1110879032
126bb5200
1344355c3
142abb008
151c799c0
hex13ec1e0

20890080 has 144 divisors (see below), whose sum is σ = 72530640. Its totient is φ = 5474304.

The previous prime is 20890061. The next prime is 20890099. The reversal of 20890080 is 8009802.

It is an interprime number because it is at equal distance from previous prime (20890061) and next prime (20890099).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128079 + ... + 128241.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 220890080 is an apocalyptic number.

20890080 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 20890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265320).

20890080 is an abundant number, since it is smaller than the sum of its proper divisors (51640560).

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

20890080 is a wasteful number, since it uses less digits than its factorization.

20890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20890080 is about 4570.5667044689. The cubic root of 20890080 is about 275.4102087371.

Adding to 20890080 its reverse (8009802), we get a palindrome (28899882).

The spelling of 20890080 in words is "twenty million, eight hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 163 178 180 240 267 288 326 356 360 445 480 489 534 652 712 720 801 815 890 978 1068 1304 1335 1424 1440 1467 1602 1630 1780 1956 2136 2445 2608 2670 2848 2934 3204 3260 3560 3912 4005 4272 4890 5216 5340 5868 6408 6520 7120 7335 7824 8010 8544 9780 10680 11736 12816 13040 14240 14507 14670 15648 16020 19560 21360 23472 25632 26080 29014 29340 32040 39120 42720 43521 46944 58028 58680 64080 72535 78240 87042 116056 117360 128160 130563 145070 174084 217605 232112 234720 261126 290140 348168 435210 464224 522252 580280 652815 696336 870420 1044504 1160560 1305630 1392672 1740840 2089008 2321120 2611260 3481680 4178016 5222520 6963360 10445040 20890080