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20552560 = 24574107
BaseRepresentation
bin100111001100…
…1101101110000
31102200011210221
41032121231300
520230140220
62012302424
7336460000
oct116315560
942604727
1020552560
1110668496
126a71a14
134347aa2
142a30000
151c0e9aa
hex1399b70

20552560 has 100 divisors (see below), whose sum is σ = 56266488. Its totient is φ = 6980736.

The previous prime is 20552557. The next prime is 20552563. The reversal of 20552560 is 6525502.

It is an interprime number because it is at equal distance from previous prime (20552557) and next prime (20552563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552563) 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 19 ways as a sum of consecutive naturals, for example, 192027 + ... + 192133.

Almost surely, 220552560 is an apocalyptic number.

20552560 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 20552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133244).

20552560 is an abundant number, since it is smaller than the sum of its proper divisors (35713928).

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

20552560 is an equidigital number, since it uses as much as digits as its factorization.

20552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 20552560 is about 4533.4931344384. The cubic root of 20552560 is about 273.9188848280.

It can be divided in two parts, 20552 and 560, that added together give a palindrome (21112).

The spelling of 20552560 in words is "twenty million, five hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 107 112 140 196 214 245 280 343 392 428 490 535 560 686 749 784 856 980 1070 1372 1498 1712 1715 1960 2140 2401 2744 2996 3430 3745 3920 4280 4802 5243 5488 5992 6860 7490 8560 9604 10486 11984 12005 13720 14980 19208 20972 24010 26215 27440 29960 36701 38416 41944 48020 52430 59920 73402 83888 96040 104860 146804 183505 192080 209720 256907 293608 367010 419440 513814 587216 734020 1027628 1284535 1468040 2055256 2569070 2936080 4110512 5138140 10276280 20552560