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20583420 = 223511132399
BaseRepresentation
bin100111010000…
…1001111111100
31102201202010220
41032201033330
520232132140
62013101340
7336645654
oct116411774
942652126
1020583420
11106896a0
126a87850
134358b50
142a3b364
151c18bd0
hex13a13fc

20583420 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 4604160.

The previous prime is 20583401. The next prime is 20583421. The reversal of 20583420 is 2438502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20583421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7381 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 220583420 is an apocalyptic number.

20583420 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 20583420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

20583420 is an abundant number, since it is smaller than the sum of its proper divisors (47154180).

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

20583420 is a wasteful number, since it uses less digits than its factorization.

20583420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20583420 is about 4536.8954142673. The cubic root of 20583420 is about 274.0559141400.

The spelling of 20583420 in words is "twenty million, five hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2399 2860 4290 4798 7197 8580 9596 11995 14394 23990 26389 28788 31187 35985 47980 52778 62374 71970 79167 93561 105556 124748 131945 143940 155935 158334 187122 263890 311870 316668 343057 374244 395835 467805 527780 623740 686114 791670 935610 1029171 1372228 1583340 1715285 1871220 2058342 3430570 4116684 5145855 6861140 10291710 20583420