Search a number
-
+
16486128 = 2432114487
BaseRepresentation
bin111110111000…
…111011110000
31011000120201100
4332320323300
513210024003
61345204400
7260062341
oct76707360
934016640
1016486128
1193402aa
125630700
133552c09
1422920c8
1516a9ba3
hexfb8ef0

16486128 has 30 divisors (see below), whose sum is σ = 46138664. Its totient is φ = 5495328.

The previous prime is 16486111. The next prime is 16486133. The reversal of 16486128 is 82168461.

16486128 is a `hidden beast` number, since 1 + 648 + 6 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16486092 and 16486101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57100 + ... + 57387.

Almost surely, 216486128 is an apocalyptic number.

16486128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16486128 is an abundant number, since it is smaller than the sum of its proper divisors (29652536).

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

16486128 is a wasteful number, since it uses less digits than its factorization.

16486128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114501 (or 114492 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16486128 is about 4060.3113181134. The cubic root of 16486128 is about 254.5108037557.

It can be divided in two parts, 1648 and 6128, that added together give a 5-th power (7776 = 65).

The spelling of 16486128 in words is "sixteen million, four hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 114487 228974 343461 457948 686922 915896 1030383 1373844 1831792 2060766 2747688 4121532 5495376 8243064 16486128