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20535606 = 2347213199
BaseRepresentation
bin100111001010…
…1100100110110
31102122022120000
41032111210312
520224114411
62012052130
7336356400
oct116254466
942568500
1020535606
1110656783
126a64046
134340160
142a27b70
151c09956
hex1395936

20535606 has 120 divisors (see below), whose sum is σ = 57934800. Its totient is φ = 5388768.

The previous prime is 20535601. The next prime is 20535607. The reversal of 20535606 is 60653502.

20535606 is a `hidden beast` number, since 2 + 0 + 53 + 5 + 606 = 666.

It is a super-2 number, since 2×205356062 = 843422227574472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20535606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535601) 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 59 ways as a sum of consecutive naturals, for example, 103095 + ... + 103293.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 220535606 is an apocalyptic number.

20535606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20535606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967400).

20535606 is an abundant number, since it is smaller than the sum of its proper divisors (37399194).

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

20535606 is a wasteful number, since it uses less digits than its factorization.

20535606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 20535606 is about 4531.6228881053. The cubic root of 20535606 is about 273.8435446867.

The spelling of 20535606 in words is "twenty million, five hundred thirty-five thousand, six hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 199 234 273 294 351 378 398 441 546 567 597 637 702 819 882 1053 1134 1194 1274 1323 1393 1638 1791 1911 2106 2457 2587 2646 2786 3582 3822 3969 4179 4914 5174 5373 5733 7371 7761 7938 8358 9751 10746 11466 12537 14742 15522 16119 17199 18109 19502 23283 25074 29253 32238 34398 36218 37611 46566 51597 54327 58506 69849 75222 87759 103194 108654 112833 126763 139698 162981 175518 209547 225666 253526 263277 325962 380289 419094 488943 526554 760578 789831 977886 1140867 1466829 1579662 2281734 2933658 3422601 6845202 10267803 20535606