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13384532 = 2274189131
BaseRepresentation
bin110011000011…
…101101010100
3221012000010102
4303003231110
511411301112
61154513232
7221523650
oct63035524
927160112
1013384532
117611aa7
124595818
132a08255
141ac5a60
151295bc2
hexcc3b54

13384532 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 5491200.

The previous prime is 13384513. The next prime is 13384561. The reversal of 13384532 is 23548331.

13384532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8640) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 13384495 and 13384504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102107 + ... + 102237.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 213384532 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 13384532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

13384532 is an abundant number, since it is smaller than the sum of its proper divisors (14557228).

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

13384532 is a wasteful number, since it uses less digits than its factorization.

13384532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 13384532 is about 3658.4876656892. The cubic root of 13384532 is about 237.4293462964.

The spelling of 13384532 in words is "thirteen million, three hundred eighty-four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 89 131 164 178 262 287 356 524 574 623 917 1148 1246 1834 2492 3649 3668 5371 7298 10742 11659 14596 21484 23318 25543 37597 46636 51086 75194 81613 102172 150388 163226 326452 478019 956038 1912076 3346133 6692266 13384532