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13012020 = 22325723449
BaseRepresentation
bin110001101000…
…110000110100
3220111002010200
4301220300310
511312341040
61142520500
7215412630
oct61506064
926432120
1013012020
11738813a
124436130
132907828
141a29dc0
151220630
hexc68c34

13012020 has 144 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 2838528.

The previous prime is 13012019. The next prime is 13012061. The reversal of 13012020 is 2021031.

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 = 13011993 and 13012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28756 + ... + 29204.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 213012020 is an apocalyptic number.

13012020 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 13012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13012020 is an abundant number, since it is smaller than the sum of its proper divisors (34162380).

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

13012020 is a wasteful number, since it uses less digits than its factorization.

13012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

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

The square root of 13012020 is about 3607.2177644273. The cubic root of 13012020 is about 235.2059157890.

Adding to 13012020 its reverse (2021031), we get a palindrome (15033051).

It can be divided in two parts, 1301 and 2020, that added together give a triangular number (3321 = T81).

The spelling of 13012020 in words is "thirteen million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 449 460 483 630 644 690 805 828 898 966 1035 1260 1347 1380 1449 1610 1796 1932 2070 2245 2415 2694 2898 3143 3220 4041 4140 4490 4830 5388 5796 6286 6735 7245 8082 8980 9429 9660 10327 12572 13470 14490 15715 16164 18858 20205 20654 26940 28287 28980 30981 31430 37716 40410 41308 47145 51635 56574 61962 62860 72289 80820 92943 94290 103270 113148 123924 141435 144578 154905 185886 188580 206540 216867 282870 289156 309810 361445 371772 433734 464715 565740 619620 650601 722890 867468 929430 1084335 1301202 1445780 1858860 2168670 2602404 3253005 4337340 6506010 13012020