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13929318 = 23213219241
BaseRepresentation
bin110101001000…
…101101100110
3222012200102200
4311020231212
512031214233
61214315330
7226253154
oct65105546
928180380
1013929318
117954337
1247b8b46
132b69200
141bc83d4
151352313
hexd48b66

13929318 has 72 divisors (see below), whose sum is σ = 34543080. Its totient is φ = 4043520.

The previous prime is 13929317. The next prime is 13929319. The reversal of 13929318 is 81392931.

13929318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13929317) and next prime (13929319).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13929317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57678 + ... + 57918.

It is an arithmetic number, because the mean of its divisors is an integer number (479765).

Almost surely, 213929318 is an apocalyptic number.

13929318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13929318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271540).

13929318 is an abundant number, since it is smaller than the sum of its proper divisors (20613762).

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

13929318 is a wasteful number, since it uses less digits than its factorization.

13929318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13929318 is about 3732.2001554043. The cubic root of 13929318 is about 240.6079379143.

The spelling of 13929318 in words is "thirteen million, nine hundred twenty-nine thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 241 247 338 342 482 494 507 723 741 1014 1446 1482 1521 2169 2223 3042 3133 3211 4338 4446 4579 6266 6422 9158 9399 9633 13737 18798 19266 27474 28197 28899 40729 41211 56394 57798 59527 81458 82422 119054 122187 178581 244374 357162 366561 535743 733122 773851 1071486 1547702 2321553 4643106 6964659 13929318