Search a number
-
+
2073200 = 24527173
BaseRepresentation
bin111111010001001110000
310220022220012
413322021300
51012320300
6112234052
723423213
oct7721160
93808805
102073200
111196698
1283b928
1357785c
143bd77a
152ae435
hex1fa270

2073200 has 60 divisors (see below), whose sum is σ = 5120208. Its totient is φ = 806400.

The previous prime is 2073199. The next prime is 2073209. The reversal of 2073200 is 23702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28364 + ... + 28436.

22073200 is an apocalyptic number.

2073200 is a gapful number since it is divisible by the number (20) 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 2073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560104).

2073200 is an abundant number, since it is smaller than the sum of its proper divisors (3047008).

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

2073200 is a wasteful number, since it uses less digits than its factorization.

2073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 2073200 is about 1439.8611044125. The cubic root of 2073200 is about 127.5108282486.

Adding to 2073200 its reverse (23702), we get a palindrome (2096902).

The spelling of 2073200 in words is "two million, seventy-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 73 80 100 142 146 200 284 292 355 365 400 568 584 710 730 1136 1168 1420 1460 1775 1825 2840 2920 3550 3650 5183 5680 5840 7100 7300 10366 14200 14600 20732 25915 28400 29200 41464 51830 82928 103660 129575 207320 259150 414640 518300 1036600 2073200