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13621314 = 2372107433
BaseRepresentation
bin110011111101…
…100001000010
3221122000221010
4303331201002
511441340224
61203541350
7223531200
oct63754102
927560833
1013621314
117763993
12468a856
132a8bc65
141b48070
1512e0e29
hexcfd842

13621314 has 48 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3846528.

The previous prime is 13621303. The next prime is 13621319. The reversal of 13621314 is 41312631.

13621314 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

13621314 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13621319) 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, 31242 + ... + 31674.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 213621314 is an apocalyptic number.

13621314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13621314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

13621314 is an abundant number, since it is smaller than the sum of its proper divisors (18439134).

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

13621314 is a wasteful number, since it uses less digits than its factorization.

13621314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 13621314 is about 3690.7064364428. The cubic root of 13621314 is about 238.8212688928.

Adding to 13621314 its reverse (41312631), we get a palindrome (54933945).

The spelling of 13621314 in words is "thirteen million, six hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 321 433 642 749 866 1299 1498 2247 2598 3031 4494 5243 6062 9093 10486 15729 18186 21217 31458 42434 46331 63651 92662 127302 138993 277986 324317 648634 972951 1945902 2270219 4540438 6810657 13621314