Search a number
-
+
13487728 = 243171383
BaseRepresentation
bin110011011100…
…111001110000
3221101020200111
4303130321300
511423101403
61201031104
7222433552
oct63347160
927336614
1013487728
117682591
124625494
132a43207
141b114d2
1512b656d
hexcdce70

13487728 has 40 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 6417600.

The previous prime is 13487723. The next prime is 13487737. The reversal of 13487728 is 82778431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13487723) 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 7 ways as a sum of consecutive naturals, for example, 35025 + ... + 35407.

Almost surely, 213487728 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 13487728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713408).

13487728 is an abundant number, since it is smaller than the sum of its proper divisors (13939088).

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

13487728 is a wasteful number, since it uses less digits than its factorization.

13487728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 13487728 is about 3672.5642268039. The cubic root of 13487728 is about 238.0379856043.

The spelling of 13487728 in words is "thirteen million, four hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 383 496 568 766 1136 1532 2201 3064 4402 6128 8804 11873 17608 23746 27193 35216 47492 54386 94984 108772 189968 217544 435088 842983 1685966 3371932 6743864 13487728