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13217364 = 22331723313
BaseRepresentation
bin110010011010…
…111001010100
3220212111211000
4302122321110
511340423424
61151143300
7220226406
oct62327124
926774730
1013217364
117508446
124514b30
13297a134
141a80b76
1512613c9
hexc9ae54

13217364 has 96 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 3953664.

The previous prime is 13217363. The next prime is 13217423. The reversal of 13217364 is 46371231.

13217364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132173642 = 349397422216992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217363) 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, 42072 + ... + 42384.

It is an arithmetic number, because the mean of its divisors is an integer number (395640).

Almost surely, 213217364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13217364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

13217364 is an abundant number, since it is smaller than the sum of its proper divisors (24764076).

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

13217364 is a wasteful number, since it uses less digits than its factorization.

13217364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13217364 is about 3635.5692814193. The cubic root of 13217364 is about 236.4367331927.

Adding to 13217364 its reverse (46371231), we get a palindrome (59588595).

The spelling of 13217364 in words is "thirteen million, two hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 313 391 414 459 612 621 626 782 828 918 939 1173 1242 1252 1564 1836 1878 2346 2484 2817 3519 3756 4692 5321 5634 7038 7199 8451 10557 10642 11268 14076 14398 15963 16902 21114 21284 21597 28796 31926 33804 42228 43194 47889 63852 64791 86388 95778 122383 129582 143667 191556 194373 244766 259164 287334 367149 388746 489532 574668 734298 777492 1101447 1468596 2202894 3304341 4405788 6608682 13217364