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20494080 = 28335593
BaseRepresentation
bin100111000101…
…1011100000000
31102120012121000
41032023130000
520221302310
62011132000
7336124335
oct116133400
942505530
1020494080
1110628562
126a44000
134327299
142a1698c
151bec4c0
hex138b700

20494080 has 144 divisors (see below), whose sum is σ = 72848160. Its totient is φ = 5455872.

The previous prime is 20494051. The next prime is 20494139. The reversal of 20494080 is 8049402.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34264 + ... + 34856.

It is an arithmetic number, because the mean of its divisors is an integer number (505890).

Almost surely, 220494080 is an apocalyptic number.

20494080 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 20494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36424080).

20494080 is an abundant number, since it is smaller than the sum of its proper divisors (52354080).

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

20494080 is an equidigital number, since it uses as much as digits as its factorization.

20494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20494080 is about 4527.0387672296. The cubic root of 20494080 is about 273.6588362233.

The spelling of 20494080 in words is "twenty million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 593 640 720 768 864 960 1080 1152 1186 1280 1440 1728 1779 1920 2160 2304 2372 2880 2965 3456 3558 3840 4320 4744 5337 5760 5930 6912 7116 8640 8895 9488 10674 11520 11860 14232 16011 17280 17790 18976 21348 23720 26685 28464 32022 34560 35580 37952 42696 47440 53370 56928 64044 71160 75904 80055 85392 94880 106740 113856 128088 142320 151808 160110 170784 189760 213480 227712 256176 284640 320220 341568 379520 426960 455424 512352 569280 640440 683136 759040 853920 1024704 1138560 1280880 1366272 1707840 2049408 2277120 2561760 3415680 4098816 5123520 6831360 10247040 20494080