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13132020 = 223511101197
BaseRepresentation
bin110010000110…
…000011110100
3220201011202010
4302012003310
511330211040
61145244220
7216422526
oct62060364
926634663
1013132020
11745a310
124493670
13294a335
141a5ba16
151245e80
hexc860f4

13132020 has 96 divisors (see below), whose sum is σ = 40715136. Its totient is φ = 3136000.

The previous prime is 13132001. The next prime is 13132033. The reversal of 13132020 is 2023131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13131987 and 13132005.

It is a congruent number.

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, 66562 + ... + 66758.

It is an arithmetic number, because the mean of its divisors is an integer number (424116).

Almost surely, 213132020 is an apocalyptic number.

13132020 is a gapful number since it is divisible by the number (10) 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 13132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357568).

13132020 is an abundant number, since it is smaller than the sum of its proper divisors (27583116).

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

13132020 is a wasteful number, since it uses less digits than its factorization.

13132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

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

The square root of 13132020 is about 3623.8129090780. The cubic root of 13132020 is about 235.9267463923.

Adding to 13132020 its reverse (2023131), we get a palindrome (15155151).

Subtracting from 13132020 its reverse (2023131), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1313 and 2020, that added together give a palindrome (3333).

The spelling of 13132020 in words is "thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 197 202 220 303 330 394 404 505 591 606 660 788 985 1010 1111 1182 1212 1515 1970 2020 2167 2222 2364 2955 3030 3333 3940 4334 4444 5555 5910 6060 6501 6666 8668 10835 11110 11820 13002 13332 16665 19897 21670 22220 26004 32505 33330 39794 43340 59691 65010 66660 79588 99485 119382 130020 198970 218867 238764 298455 397940 437734 596910 656601 875468 1094335 1193820 1313202 2188670 2626404 3283005 4377340 6566010 13132020