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20205504 = 2633111063
BaseRepresentation
bin100110100010…
…0111111000000
31102000112202000
41031010333000
520133034004
62001024000
7333513114
oct115047700
942015660
1020205504
1110450770
126925000
134255b27
14297d744
151b91c39
hex1344fc0

20205504 has 112 divisors (see below), whose sum is σ = 64861440. Its totient is φ = 6117120.

The previous prime is 20205487. The next prime is 20205517. The reversal of 20205504 is 40550202.

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

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 15 ways as a sum of consecutive naturals, for example, 18477 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 220205504 is an apocalyptic number.

20205504 is a gapful number since it is divisible by the number (24) 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 20205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720).

20205504 is an abundant number, since it is smaller than the sum of its proper divisors (44655936).

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

20205504 is a wasteful number, since it uses less digits than its factorization.

20205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20205504 is about 4495.0532811080. The cubic root of 20205504 is about 272.3683015377.

Adding to 20205504 its reverse (40550202), we get a palindrome (60755706).

The spelling of 20205504 in words is "twenty million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1063 1188 1584 1728 2112 2126 2376 3168 3189 4252 4752 6336 6378 8504 9504 9567 11693 12756 17008 19008 19134 23386 25512 28701 34016 35079 38268 46772 51024 57402 68032 70158 76536 93544 102048 105237 114804 140316 153072 187088 204096 210474 229608 280632 306144 315711 374176 420948 459216 561264 612288 631422 748352 841896 918432 1122528 1262844 1683792 1836864 2245056 2525688 3367584 5051376 6735168 10102752 20205504