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20093580 = 223251331277
BaseRepresentation
bin100110010100…
…1101010001100
31101210212012200
41030221222030
520120443310
61554401500
7332535603
oct114515214
941725180
1020093580
1110384671
126890290
134216bc0
142950a3a
151b6d9c0
hex1329a8c

20093580 has 144 divisors (see below), whose sum is σ = 68001024. Its totient is φ = 4769280.

The previous prime is 20093573. The next prime is 20093603. The reversal of 20093580 is 8539002.

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 47 ways as a sum of consecutive naturals, for example, 72402 + ... + 72678.

Almost surely, 220093580 is an apocalyptic number.

20093580 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 20093580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000512).

20093580 is an abundant number, since it is smaller than the sum of its proper divisors (47907444).

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

20093580 is a wasteful number, since it uses less digits than its factorization.

20093580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20093580 is about 4482.5863070330. The cubic root of 20093580 is about 271.8644617398.

The spelling of 20093580 in words is "twenty million, ninety-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 277 279 310 372 390 403 465 468 554 558 585 620 780 806 831 930 1108 1116 1170 1209 1385 1395 1612 1662 1860 2015 2340 2418 2493 2770 2790 3324 3601 3627 4030 4155 4836 4986 5540 5580 6045 7202 7254 8060 8310 8587 9972 10803 12090 12465 14404 14508 16620 17174 18005 18135 21606 24180 24930 25761 32409 34348 36010 36270 42935 43212 49860 51522 54015 64818 72020 72540 77283 85870 103044 108030 111631 128805 129636 154566 162045 171740 216060 223262 257610 309132 324090 334893 386415 446524 515220 558155 648180 669786 772830 1004679 1116310 1339572 1545660 1674465 2009358 2232620 3348930 4018716 5023395 6697860 10046790 20093580