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20491020 = 223251179131
BaseRepresentation
bin100111000101…
…0101100001100
31102120001101200
41032022230030
520221203040
62011105500
7336112404
oct116125414
942501350
1020491020
1110626230
126a42290
134325a84
142a15804
151beb630
hex138ab0c

20491020 has 144 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 4867200.

The previous prime is 20490997. The next prime is 20491039. The reversal of 20491020 is 2019402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20490984 and 20491002.

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, 156355 + ... + 156485.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 220491020 is an apocalyptic number.

20491020 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 20491020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

20491020 is an abundant number, since it is smaller than the sum of its proper divisors (48698100).

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

20491020 is a wasteful number, since it uses less digits than its factorization.

20491020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20491020 is about 4526.7007853402. The cubic root of 20491020 is about 273.6452154163.

The spelling of 20491020 in words is "twenty million, four hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 131 132 158 165 180 198 220 237 262 316 330 393 395 396 474 495 524 655 660 711 786 790 869 948 990 1179 1185 1310 1422 1441 1572 1580 1738 1965 1980 2358 2370 2607 2620 2844 2882 3476 3555 3930 4323 4345 4716 4740 5214 5764 5895 7110 7205 7821 7860 8646 8690 10349 10428 11790 12969 13035 14220 14410 15642 17292 17380 20698 21615 23580 25938 26070 28820 31047 31284 39105 41396 43230 51745 51876 52140 62094 64845 78210 86460 93141 103490 113839 124188 129690 155235 156420 186282 206980 227678 259380 310470 341517 372564 455356 465705 569195 620940 683034 931410 1024551 1138390 1366068 1707585 1862820 2049102 2276780 3415170 4098204 5122755 6830340 10245510 20491020