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13917306 = 23131131579
BaseRepresentation
bin110101000101…
…110001111010
3222012001221210
4311011301322
512030323211
61214143550
7226203144
oct65056172
928161853
1013917306
117946307
1247b1bb6
132b638c0
141bc3c94
15134d9a6
hexd45c7a

13917306 has 32 divisors (see below), whose sum is σ = 30260160. Its totient is φ = 4241664.

The previous prime is 13917301. The next prime is 13917313. The reversal of 13917306 is 60371931.

It is not an unprimeable number, because it can be changed into a prime (13917301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8025 + ... + 9603.

It is an arithmetic number, because the mean of its divisors is an integer number (945630).

Almost surely, 213917306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13917306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080).

13917306 is an abundant number, since it is smaller than the sum of its proper divisors (16342854).

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

13917306 is a wasteful number, since it uses less digits than its factorization.

13917306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 13917306 is about 3730.5905698696. The cubic root of 13917306 is about 240.5387549690.

The spelling of 13917306 in words is "thirteen million, nine hundred seventeen thousand, three hundred six".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 1579 2938 3158 4407 4737 8814 9474 20527 41054 61581 123162 178427 356854 535281 1070562 2319551 4639102 6958653 13917306