Search a number
-
+
16142200 = 2352431877
BaseRepresentation
bin111101100100…
…111101111000
31010101002221021
4331210331320
513113022300
61333552224
7254130544
oct75447570
933332837
1016142200
119125968
1254a5674
1334624c9
142202a24
15163cd1a
hexf64f78

16142200 has 48 divisors (see below), whose sum is σ = 38423880. Its totient is φ = 6303360.

The previous prime is 16142179. The next prime is 16142201. The reversal of 16142200 is 224161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16142201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7662 + ... + 9538.

Almost surely, 216142200 is an apocalyptic number.

16142200 is a gapful number since it is divisible by the number (10) 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 16142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211940).

16142200 is an abundant number, since it is smaller than the sum of its proper divisors (22281680).

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

16142200 is a wasteful number, since it uses less digits than its factorization.

16142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 16142200 is about 4017.7356807037. The cubic root of 16142200 is about 252.7285125403.

Adding to 16142200 its reverse (224161), we get a palindrome (16366361).

The spelling of 16142200 in words is "sixteen million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 1877 2150 3754 4300 7508 8600 9385 15016 18770 37540 46925 75080 80711 93850 161422 187700 322844 375400 403555 645688 807110 1614220 2017775 3228440 4035550 8071100 16142200