Search a number
-
+
16280028 = 22371861
BaseRepresentation
bin111110000110…
…100111011100
31010122010000000
4332012213130
513131430103
61340534300
7255243432
oct76064734
933563000
1016280028
11920a476
125551390
1334b016b
14223ad52
151668aa3
hexf869dc

16280028 has 48 divisors (see below), whose sum is σ = 42751520. Its totient is φ = 5423760.

The previous prime is 16280027. The next prime is 16280029. The reversal of 16280028 is 82008261.

It is an interprime number because it is at equal distance from previous prime (16280027) and next prime (16280029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16279983 and 16280010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16280027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7818 + ... + 9678.

Almost surely, 216280028 is an apocalyptic number.

16280028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16280028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375760).

16280028 is an abundant number, since it is smaller than the sum of its proper divisors (26471492).

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

16280028 is an equidigital number, since it uses as much as digits as its factorization.

16280028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16280028 is about 4034.8516701361. The cubic root of 16280028 is about 253.4457711108.

Adding to 16280028 its reverse (82008261), we get a palindrome (98288289).

The spelling of 16280028 in words is "sixteen million, two hundred eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1861 2187 2916 3722 4374 5583 7444 8748 11166 16749 22332 33498 50247 66996 100494 150741 200988 301482 452223 602964 904446 1356669 1808892 2713338 4070007 5426676 8140014 16280028