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20539008 = 27347283
BaseRepresentation
bin100111001011…
…0011010000000
31102122111020000
41032112122000
520224222013
62012120000
7336402330
oct116263200
942574200
1020539008
1110659296
126a66000
134341879
142a290c0
151c0a973
hex1396680

20539008 has 160 divisors (see below), whose sum is σ = 70102560. Its totient is φ = 5847552.

The previous prime is 20539003. The next prime is 20539031. The reversal of 20539008 is 80093502.

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

It is not an unprimeable number, because it can be changed into a prime (20539003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72435 + ... + 72717.

It is an arithmetic number, because the mean of its divisors is an integer number (438141).

Almost surely, 220539008 is an apocalyptic number.

20539008 is a gapful number since it is divisible by the number (28) 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 20539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35051280).

20539008 is an abundant number, since it is smaller than the sum of its proper divisors (49563552).

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

20539008 is an equidigital number, since it uses as much as digits as its factorization.

20539008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

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

The square root of 20539008 is about 4531.9982347746. The cubic root of 20539008 is about 273.8586658101.

The spelling of 20539008 in words is "twenty million, five hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 283 288 324 336 378 384 432 448 504 566 567 576 648 672 756 849 864 896 1008 1132 1134 1152 1296 1344 1512 1698 1728 1981 2016 2264 2268 2547 2592 2688 3024 3396 3456 3962 4032 4528 4536 5094 5184 5943 6048 6792 7641 7924 8064 9056 9072 10188 10368 11886 12096 13584 15282 15848 17829 18112 18144 20376 22923 23772 24192 27168 30564 31696 35658 36224 36288 40752 45846 47544 53487 54336 61128 63392 71316 72576 81504 91692 95088 106974 108672 122256 126784 142632 160461 163008 183384 190176 213948 244512 253568 285264 320922 326016 366768 380352 427896 489024 570528 641844 733536 760704 855792 978048 1141056 1283688 1467072 1711584 2282112 2567376 2934144 3423168 5134752 6846336 10269504 20539008