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13974064 = 2413232127
BaseRepresentation
bin110101010011…
…101000110000
3222021221210221
4311103220300
512034132224
61215302424
7226530466
oct65235060
928257727
1013974064
117984a15
12481aa14
132b836a0
141bda836
1513606e4
hexd53a30

13974064 has 60 divisors (see below), whose sum is σ = 30720256. Its totient is φ = 6120576.

The previous prime is 13974061. The next prime is 13974067. The reversal of 13974064 is 46047931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13974061) and next prime (13974067).

It is a super-3 number, since 3×139740643 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13974061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109969 + ... + 110095.

Almost surely, 213974064 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 13974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360128).

13974064 is an abundant number, since it is smaller than the sum of its proper divisors (16746192).

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

13974064 is a wasteful number, since it uses less digits than its factorization.

13974064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 13974064 is about 3738.1899363194. The cubic root of 13974064 is about 240.8653023922.

The spelling of 13974064 in words is "thirteen million, nine hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 127 184 208 254 299 368 508 529 598 1016 1058 1196 1651 2032 2116 2392 2921 3302 4232 4784 5842 6604 6877 8464 11684 13208 13754 23368 26416 27508 37973 46736 55016 67183 75946 110032 134366 151892 268732 303784 537464 607568 873379 1074928 1746758 3493516 6987032 13974064