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20011332 = 223111979101
BaseRepresentation
bin100110001010…
…1100101000100
31101122200101110
41030111211010
520110330312
61552525020
7332044035
oct114254504
941580343
1020011332
11103288a0
126850770
1341b8633
14292ca8c
151b5443c
hex1315944

20011332 has 96 divisors (see below), whose sum is σ = 54835200. Its totient is φ = 5616000.

The previous prime is 20011319. The next prime is 20011349. The reversal of 20011332 is 23311002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198082 + ... + 198182.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 220011332 is an apocalyptic number.

20011332 is a gapful number since it is divisible by the number (22) 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 20011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417600).

20011332 is an abundant number, since it is smaller than the sum of its proper divisors (34823868).

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

20011332 is a wasteful number, since it uses less digits than its factorization.

20011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20011332 is about 4473.4027317021. The cubic root of 20011332 is about 271.4930182808.

Adding to 20011332 its reverse (23311002), we get a palindrome (43322334).

It can be divided in two parts, 2001 and 1332, that added together give a palindrome (3333).

The spelling of 20011332 in words is "twenty million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 79 101 114 132 158 202 209 228 237 303 316 404 418 474 606 627 836 869 948 1111 1212 1254 1501 1738 1919 2222 2508 2607 3002 3333 3476 3838 4444 4503 5214 5757 6004 6666 7676 7979 9006 10428 11514 13332 15958 16511 18012 21109 23028 23937 31916 33022 42218 47874 49533 63327 66044 84436 87769 95748 99066 126654 151601 175538 198132 253308 263307 303202 351076 454803 526614 606404 909606 1053228 1667611 1819212 3335222 5002833 6670444 10005666 20011332