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20523060 = 223251131009
BaseRepresentation
bin100111001001…
…0100000110100
31102121200100100
41032102200310
520223214220
62011514100
7336304665
oct116224064
942550310
1020523060
1110648308
126a58930
13433752c
142a2336c
151c05d90
hex1392834

20523060 has 72 divisors (see below), whose sum is σ = 62866440. Its totient is φ = 5419008.

The previous prime is 20523053. The next prime is 20523077. The reversal of 20523060 is 6032502.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 20304036 = 468^2 + 4506^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19836 + ... + 20844.

It is an arithmetic number, because the mean of its divisors is an integer number (873145).

Almost surely, 220523060 is an apocalyptic number.

20523060 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 20523060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31433220).

20523060 is an abundant number, since it is smaller than the sum of its proper divisors (42343380).

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

20523060 is a wasteful number, since it uses less digits than its factorization.

20523060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20523060 is about 4530.2384043227. The cubic root of 20523060 is about 273.7877661038.

Adding to 20523060 its reverse (6032502), we get a palindrome (26555562).

The spelling of 20523060 in words is "twenty million, five hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1009 1017 1130 1356 1695 2018 2034 2260 3027 3390 4036 4068 5045 5085 6054 6780 9081 10090 10170 12108 15135 18162 20180 20340 30270 36324 45405 60540 90810 114017 181620 228034 342051 456068 570085 684102 1026153 1140170 1368204 1710255 2052306 2280340 3420510 4104612 5130765 6841020 10261530 20523060