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2042300 = 2252131571
BaseRepresentation
bin111110010100110111100
310211202111202
413302212330
51010323200
6111435032
723234141
oct7624674
93752452
102042300
111175457
12825a78
13566780
143b23c8
152a51d5
hex1f29bc

2042300 has 36 divisors (see below), whose sum is σ = 4775736. Its totient is φ = 753600.

The previous prime is 2042297. The next prime is 2042303. The reversal of 2042300 is 32402.

It is an interprime number because it is at equal distance from previous prime (2042297) and next prime (2042303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042303) by changing a digit.

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, 515 + ... + 2085.

22042300 is an apocalyptic number.

2042300 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 2042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387868).

2042300 is an abundant number, since it is smaller than the sum of its proper divisors (2733436).

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

2042300 is a wasteful number, since it uses less digits than its factorization.

2042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2042300 is about 1429.0906199398. The cubic root of 2042300 is about 126.8741597654.

Adding to 2042300 its reverse (32402), we get a palindrome (2074702).

The spelling of 2042300 in words is "two million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1571 3142 6284 7855 15710 20423 31420 39275 40846 78550 81692 102115 157100 204230 408460 510575 1021150 2042300