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20110032 = 243459263
BaseRepresentation
bin100110010110…
…1101011010000
31101211200210000
41030231223100
520122010112
61555010000
7332634555
oct114555320
941750700
1020110032
1110395a68
126899900
134221537
142956a2c
151b737dc
hex132dad0

20110032 has 100 divisors (see below), whose sum is σ = 59415840. Its totient is φ = 6564672.

The previous prime is 20109989. The next prime is 20110043. The reversal of 20110032 is 23001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20109996 and 20110023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76333 + ... + 76595.

Almost surely, 220110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920).

20110032 is an abundant number, since it is smaller than the sum of its proper divisors (39305808).

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

20110032 is a wasteful number, since it uses less digits than its factorization.

20110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20110032 is about 4484.4210328648. The cubic root of 20110032 is about 271.9386395613.

Adding to 20110032 its reverse (23001102), we get a palindrome (43111134).

The spelling of 20110032 in words is "twenty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 263 324 354 432 472 526 531 648 708 789 944 1052 1062 1296 1416 1578 1593 2104 2124 2367 2832 3156 3186 4208 4248 4734 4779 6312 6372 7101 8496 9468 9558 12624 12744 14202 15517 18936 19116 21303 25488 28404 31034 37872 38232 42606 46551 56808 62068 76464 85212 93102 113616 124136 139653 170424 186204 248272 279306 340848 372408 418959 558612 744816 837918 1117224 1256877 1675836 2234448 2513754 3351672 5027508 6703344 10055016 20110032