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13361220 = 22335109227
BaseRepresentation
bin110010111110…
…000001000100
3221010211011000
4302332001010
511410024340
61154213300
7221365665
oct62760104
927124130
1013361220
1175a6534
124584230
1329ca762
141abb36c
15128dd30
hexcbe044

13361220 has 96 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 3514752.

The previous prime is 13361219. The next prime is 13361221. The reversal of 13361220 is 2216331.

13361220 is a `hidden beast` number, since 1 + 33 + 612 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13361219) and next prime (13361221).

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 = 13361193 and 13361202.

It is not an unprimeable number, because it can be changed into a prime (13361221) 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, 58747 + ... + 58973.

It is an arithmetic number, because the mean of its divisors is an integer number (438900).

Almost surely, 213361220 is an apocalyptic number.

13361220 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 13361220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

13361220 is an abundant number, since it is smaller than the sum of its proper divisors (28773180).

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

13361220 is a wasteful number, since it uses less digits than its factorization.

13361220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13361220 is about 3655.3002612645. The cubic root of 13361220 is about 237.2914216765.

Adding to 13361220 its reverse (2216331), we get a palindrome (15577551).

It can be divided in two parts, 1336 and 1220, that added together give a triangular number (2556 = T71).

The spelling of 13361220 in words is "thirteen million, three hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 227 270 327 436 454 540 545 654 681 908 981 1090 1135 1308 1362 1635 1962 2043 2180 2270 2724 2943 3270 3405 3924 4086 4540 4905 5886 6129 6540 6810 8172 9810 10215 11772 12258 13620 14715 19620 20430 24516 24743 29430 30645 40860 49486 58860 61290 74229 98972 122580 123715 148458 222687 247430 296916 371145 445374 494860 668061 742290 890748 1113435 1336122 1484580 2226870 2672244 3340305 4453740 6680610 13361220