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2874200 = 235272053
BaseRepresentation
bin1010111101101101011000
312102000122212
422331231120
51213433300
6141334252
733300410
oct12755530
95360585
102874200
11169347a
12b67388
13798314
1454b640
153bb935
hex2bdb58

2874200 has 48 divisors (see below), whose sum is σ = 7640880. Its totient is φ = 984960.

The previous prime is 2874181. The next prime is 2874211. The reversal of 2874200 is 24782.

It is a super-2 number, since 2×28742002 = 16522051280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374 + ... + 2426.

It is an arithmetic number, because the mean of its divisors is an integer number (159185).

22874200 is an apocalyptic number.

2874200 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 2874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820440).

2874200 is an abundant number, since it is smaller than the sum of its proper divisors (4766680).

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

2874200 is a wasteful number, since it uses less digits than its factorization.

2874200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2874200 is about 1695.3465722383. The cubic root of 2874200 is about 142.1801588208.

Adding to 2874200 its reverse (24782), we get a palindrome (2898982).

The spelling of 2874200 in words is "two million, eight hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2053 4106 8212 10265 14371 16424 20530 28742 41060 51325 57484 71855 82120 102650 114968 143710 205300 287420 359275 410600 574840 718550 1437100 2874200