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13251420 = 22325713809
BaseRepresentation
bin110010100011…
…001101011100
3220221020112100
4302203031130
511343021140
61152005100
7220430610
oct62431534
926836470
1013251420
117530a96
124530790
13298c7a0
141a8d340
15126b530
hexca335c

13251420 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 2792448.

The previous prime is 13251419. The next prime is 13251421. The reversal of 13251420 is 2415231.

13251420 is a `hidden beast` number, since 132 + 514 + 20 = 666.

13251420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13251419) and next prime (13251421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13251393 and 13251402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13251421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15976 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 213251420 is an apocalyptic number.

13251420 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 13251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13251420 is an abundant number, since it is smaller than the sum of its proper divisors (36281700).

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

13251420 is a wasteful number, since it uses less digits than its factorization.

13251420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13251420 is about 3640.2499914154. The cubic root of 13251420 is about 236.6396274957.

Adding to 13251420 its reverse (2415231), we get a palindrome (15666651).

The spelling of 13251420 in words is "thirteen million, two hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 809 819 910 1092 1170 1260 1365 1618 1638 1820 2340 2427 2730 3236 3276 4045 4095 4854 5460 5663 7281 8090 8190 9708 10517 11326 12135 14562 16180 16380 16989 21034 22652 24270 28315 29124 31551 33978 36405 42068 48540 50967 52585 56630 63102 67956 72810 73619 84945 94653 101934 105170 113260 126204 145620 147238 157755 169890 189306 203868 210340 220857 254835 294476 315510 339780 368095 378612 441714 473265 509670 631020 662571 736190 883428 946530 1019340 1104285 1325142 1472380 1893060 2208570 2650284 3312855 4417140 6625710 13251420