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20209520 = 2452931281
BaseRepresentation
bin100110100010…
…1111101110000
31102000202020202
41031011331300
520133201040
62001054332
7333530612
oct115057560
942022222
1020209520
1110453791
1269273a8
1342578c6
142980db2
151b93015
hex1345f70

20209520 has 80 divisors (see below), whose sum is σ = 50353920. Its totient is φ = 7526400.

The previous prime is 20209493. The next prime is 20209523. The reversal of 20209520 is 2590202.

20209520 = T31 + T32 + ... + T494.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20209492 and 20209501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20209523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71780 + ... + 72060.

It is an arithmetic number, because the mean of its divisors is an integer number (629424).

Almost surely, 220209520 is an apocalyptic number.

20209520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 4495×4496.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176960).

20209520 is an abundant number, since it is smaller than the sum of its proper divisors (30144400).

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

20209520 is a wasteful number, since it uses less digits than its factorization.

20209520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20209520 is about 4495.4999721944. The cubic root of 20209520 is about 272.3863454435.

Adding to 20209520 its reverse (2590202), we get a palindrome (22799722).

The spelling of 20209520 in words is "twenty million, two hundred nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 281 290 310 464 496 562 580 620 899 1124 1160 1240 1405 1798 2248 2320 2480 2810 3596 4495 4496 5620 7192 8149 8711 8990 11240 14384 16298 17422 17980 22480 32596 34844 35960 40745 43555 65192 69688 71920 81490 87110 130384 139376 162980 174220 252619 325960 348440 505238 651920 696880 1010476 1263095 2020952 2526190 4041904 5052380 10104760 20209520