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12513020 = 225131719149
BaseRepresentation
bin101111101110…
…111011111100
3212112201122012
4233232323330
511200404040
61124110352
7211234052
oct57567374
925481565
1012513020
117077243
1242353b8
132791670
14193a1d2
151172865
hexbeeefc

12513020 has 96 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 4091904.

The previous prime is 12513019. The next prime is 12513023. The reversal of 12513020 is 2031521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12512986 and 12513004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83906 + ... + 84054.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 212513020 is an apocalyptic number.

12513020 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 12513020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

12513020 is an abundant number, since it is smaller than the sum of its proper divisors (19238980).

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

12513020 is a wasteful number, since it uses less digits than its factorization.

12513020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12513020 is about 3537.3747327644. The cubic root of 12513020 is about 232.1599917023.

Adding to 12513020 its reverse (2031521), we get a palindrome (14544541).

The spelling of 12513020 in words is "twelve million, five hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 149 170 190 221 247 260 298 323 340 380 442 494 596 646 745 884 988 1105 1235 1292 1490 1615 1937 2210 2470 2533 2831 2980 3230 3874 4199 4420 4940 5066 5662 6460 7748 8398 9685 10132 11324 12665 14155 16796 19370 20995 25330 28310 32929 36803 38740 41990 48127 50660 56620 65858 73606 83980 96254 131716 147212 164645 184015 192508 240635 329290 368030 481270 625651 658580 736060 962540 1251302 2502604 3128255 6256510 12513020