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13363020 = 223251117397
BaseRepresentation
bin110010111110…
…011101001100
3221010220121200
4302332131030
511410104040
61154225500
7221404146
oct62763514
927126550
1013363020
1175a7920
124585290
1329cb518
141abbc96
15128e630
hexcbe74c

13363020 has 144 divisors (see below), whose sum is σ = 46938528. Its totient is φ = 3041280.

The previous prime is 13363019. The next prime is 13363027. The reversal of 13363020 is 2036331.

It is a happy number.

13363020 is a `hidden beast` number, since 1 + 33 + 630 + 2 + 0 = 666.

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 = 13362984 and 13363002.

It is not an unprimeable number, because it can be changed into a prime (13363027) 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, 33462 + ... + 33858.

It is an arithmetic number, because the mean of its divisors is an integer number (325962).

Almost surely, 213363020 is an apocalyptic number.

13363020 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 13363020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469264).

13363020 is an abundant number, since it is smaller than the sum of its proper divisors (33575508).

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

13363020 is a wasteful number, since it uses less digits than its factorization.

13363020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13363020 is about 3655.5464707756. The cubic root of 13363020 is about 237.3020770253.

Adding to 13363020 its reverse (2036331), we get a palindrome (15399351).

It can be divided in two parts, 1336 and 3020, that added together give a square (4356 = 662).

The spelling of 13363020 in words is "thirteen million, three hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 397 495 510 561 612 660 748 765 794 935 990 1020 1122 1191 1530 1588 1683 1870 1980 1985 2244 2382 2805 3060 3366 3573 3740 3970 4367 4764 5610 5955 6732 6749 7146 7940 8415 8734 11220 11910 13101 13498 14292 16830 17468 17865 20247 21835 23820 26202 26996 33660 33745 35730 39303 40494 43670 52404 60741 65505 67490 71460 74239 78606 80988 87340 101235 121482 131010 134980 148478 157212 196515 202470 222717 242964 262020 296956 303705 371195 393030 404940 445434 607410 668151 742390 786060 890868 1113585 1214820 1336302 1484780 2227170 2672604 3340755 4454340 6681510 13363020