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13613226 = 23112171103
BaseRepresentation
bin110011111011…
…100010101010
3221121121211120
4303323202222
511441110401
61203440110
7223465464
oct63734252
927547746
1013613226
117758900
124686036
132a88383
141b45134
1512dd836
hexcfb8aa

13613226 has 48 divisors (see below), whose sum is σ = 31715712. Its totient is φ = 3879040.

The previous prime is 13613207. The next prime is 13613227. The reversal of 13613226 is 62231631.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13613196 and 13613205.

It is not an unprimeable number, because it can be changed into a prime (13613227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11791 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (660744).

Almost surely, 213613226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13613226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857856).

13613226 is an abundant number, since it is smaller than the sum of its proper divisors (18102486).

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

13613226 is a wasteful number, since it uses less digits than its factorization.

13613226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1136 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 13613226 is about 3689.6105485539. The cubic root of 13613226 is about 238.7739908094.

Adding to 13613226 its reverse (62231631), we get a palindrome (75844857).

The spelling of 13613226 in words is "thirteen million, six hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1103 1122 2057 2206 3309 4114 6171 6618 12133 12342 18751 24266 36399 37502 56253 72798 112506 133463 206261 266926 400389 412522 618783 800778 1237566 2268871 4537742 6806613 13613226