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16198128 = 2432197571
BaseRepresentation
bin111101110010…
…100111110000
31010110221122200
4331302213300
513121320003
61335103200
7254452602
oct75624760
933427580
1016198128
119163991
125511b00
133481abb
142219172
15164e6a3
hexf729f0

16198128 has 60 divisors (see below), whose sum is σ = 45642168. Its totient is φ = 5362560.

The previous prime is 16198099. The next prime is 16198159. The reversal of 16198128 is 82189161.

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 = 16198092 and 16198101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28083 + ... + 28653.

Almost surely, 216198128 is an apocalyptic number.

16198128 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 16198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821084).

16198128 is an abundant number, since it is smaller than the sum of its proper divisors (29444040).

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

16198128 is a wasteful number, since it uses less digits than its factorization.

16198128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 16198128 is about 4024.6898017114. The cubic root of 16198128 is about 253.0200528821.

It can be divided in two parts, 161 and 98128, that added together give a palindrome (98289).

The spelling of 16198128 in words is "sixteen million, one hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 571 591 788 1142 1182 1576 1713 1773 2284 2364 3152 3426 3546 4568 4728 5139 6852 7092 9136 9456 10278 13704 14184 20556 27408 28368 41112 82224 112487 224974 337461 449948 674922 899896 1012383 1349844 1799792 2024766 2699688 4049532 5399376 8099064 16198128