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20526900 = 22352531291
BaseRepresentation
bin100111001001…
…1011100110100
31102121212121120
41032103130310
520223330100
62011543540
7336322122
oct116233464
942555546
1020526900
1110650189
126a5abb0
1343391c4
142a24912
151c070a0
hex1393734

20526900 has 72 divisors (see below), whose sum is σ = 60558624. Its totient is φ = 5366400.

The previous prime is 20526893. The next prime is 20526907. The reversal of 20526900 is 962502.

It is an interprime number because it is at equal distance from previous prime (20526893) and next prime (20526907).

It is a super-2 number, since 2×205269002 = 842707247220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20526907) 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 23 ways as a sum of consecutive naturals, for example, 15255 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (841092).

Almost surely, 220526900 is an apocalyptic number.

20526900 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 20526900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30279312).

20526900 is an abundant number, since it is smaller than the sum of its proper divisors (40031724).

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

20526900 is a wasteful number, since it uses less digits than its factorization.

20526900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 20526900 is about 4530.6622032546. The cubic root of 20526900 is about 273.8048408717.

The spelling of 20526900 in words is "twenty million, five hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1291 1325 1590 2582 2650 3180 3873 3975 5164 5300 6455 7746 7950 12910 15492 15900 19365 25820 32275 38730 64550 68423 77460 96825 129100 136846 193650 205269 273692 342115 387300 410538 684230 821076 1026345 1368460 1710575 2052690 3421150 4105380 5131725 6842300 10263450 20526900