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13084832 = 251767359
BaseRepresentation
bin110001111010…
…100010100000
3220121210000102
4301322202200
511322203312
61144241532
7216135125
oct61724240
926553012
1013084832
117427912
1244702a8
132931a07
141a4874c
151236ec2
hexc7a8a0

13084832 has 48 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 6048768.

The previous prime is 13084823. The next prime is 13084871. The reversal of 13084832 is 23848031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13084795 and 13084804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36269 + ... + 36627.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 213084832 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 13084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

13084832 is an abundant number, since it is smaller than the sum of its proper divisors (14675488).

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

13084832 is a wasteful number, since it uses less digits than its factorization.

13084832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 13084832 is about 3617.2962278475. The cubic root of 13084832 is about 235.6438177740.

The spelling of 13084832 in words is "thirteen million, eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 359 536 544 718 1072 1139 1436 2144 2278 2872 4556 5744 6103 9112 11488 12206 18224 24053 24412 36448 48106 48824 96212 97648 192424 195296 384848 408901 769696 817802 1635604 3271208 6542416 13084832