Search a number
-
+
16988850 = 23252191987
BaseRepresentation
bin100000011001…
…1101010110010
31011222010022200
41000303222302
513322120400
61404044030
7264255114
oct100635262
934863280
1016988850
119653a7a
125833616
13369a998
1423833b4
151758b00
hex1033ab2

16988850 has 72 divisors (see below), whose sum is σ = 48069840. Its totient is φ = 4289760.

The previous prime is 16988843. The next prime is 16988863. The reversal of 16988850 is 5888961.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16988796 and 16988805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7557 + ... + 9543.

Almost surely, 216988850 is an apocalyptic number.

16988850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16988850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034920).

16988850 is an abundant number, since it is smaller than the sum of its proper divisors (31080990).

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

16988850 is a wasteful number, since it uses less digits than its factorization.

16988850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 16988850 is about 4121.7532677248. The cubic root of 16988850 is about 257.0719314971.

The spelling of 16988850 in words is "sixteen million, nine hundred eighty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 1987 2850 3974 4275 5961 8550 9935 11922 17883 19870 29805 35766 37753 49675 59610 75506 89415 99350 113259 149025 178830 188765 226518 298050 339777 377530 447075 566295 679554 894150 943825 1132590 1698885 1887650 2831475 3397770 5662950 8494425 16988850