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20011320 = 2333572647
BaseRepresentation
bin100110001010…
…1100100111000
31101122200101000
41030111210320
520110330240
61552525000
7332044020
oct114254470
941580330
1020011320
111032888a
126850760
1341b8624
14292ca80
151b54430
hex1315938

20011320 has 128 divisors (see below), whose sum is σ = 76262400. Its totient is φ = 4572288.

The previous prime is 20011319. The next prime is 20011349. The reversal of 20011320 is 2311002.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6237 + ... + 8883.

It is an arithmetic number, because the mean of its divisors is an integer number (595800).

Almost surely, 220011320 is an apocalyptic number.

20011320 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 20011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38131200).

20011320 is an abundant number, since it is smaller than the sum of its proper divisors (56251080).

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

20011320 is a wasteful number, since it uses less digits than its factorization.

20011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2664 counting only the distinct ones).

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

The square root of 20011320 is about 4473.4013904411. The cubic root of 20011320 is about 271.4929640129.

Adding to 20011320 its reverse (2311002), we get a palindrome (22322322).

It can be divided in two parts, 2001 and 1320, that added together give a triangular number (3321 = T81).

The spelling of 20011320 in words is "twenty million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 2647 3780 5294 7560 7941 10588 13235 15882 18529 21176 23823 26470 31764 37058 39705 47646 52940 55587 63528 71469 74116 79410 92645 95292 105880 111174 119115 142938 148232 158820 166761 185290 190584 222348 238230 277935 285876 317640 333522 357345 370580 444696 476460 500283 555870 571752 667044 714690 741160 833805 952920 1000566 1111740 1334088 1429380 1667610 2001132 2223480 2501415 2858760 3335220 4002264 5002830 6670440 10005660 20011320