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20006532 = 223271331197
BaseRepresentation
bin100110001010…
…0011010000100
31101122102210200
41030110122010
520110202112
61552450500
7332024040
oct114243204
941572720
1020006532
1110325227
126849a30
1341b63b0
14292b020
151b52cdc
hex1314684

20006532 has 144 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 5080320.

The previous prime is 20006531. The next prime is 20006533. The reversal of 20006532 is 23560002.

It is an interprime number because it is at equal distance from previous prime (20006531) and next prime (20006533).

It is a super-2 number, since 2×200065322 = 800522645334048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20006531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101458 + ... + 101654.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 220006532 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 20006532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

20006532 is an abundant number, since it is smaller than the sum of its proper divisors (44569980).

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

20006532 is a wasteful number, since it uses less digits than its factorization.

20006532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

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

The square root of 20006532 is about 4472.8661951818. The cubic root of 20006532 is about 271.4713094027.

Adding to 20006532 its reverse (23560002), we get a palindrome (43566534).

The spelling of 20006532 in words is "twenty million, six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 197 217 234 252 273 279 364 372 394 403 434 468 546 558 591 651 788 806 819 868 1092 1116 1182 1209 1302 1379 1612 1638 1773 1953 2364 2418 2561 2604 2758 2821 3276 3546 3627 3906 4137 4836 5122 5516 5642 6107 7092 7254 7683 7812 8274 8463 10244 11284 12214 12411 14508 15366 16548 16926 17927 18321 23049 24428 24822 25389 30732 33852 35854 36642 42749 46098 49644 50778 53781 54963 71708 73284 79391 85498 92196 101556 107562 109926 128247 158782 161343 170996 215124 219852 238173 256494 317564 322686 384741 476346 512988 555737 645372 714519 769482 952692 1111474 1429038 1538964 1667211 2222948 2858076 3334422 5001633 6668844 10003266 20006532