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2041400 = 235259173
BaseRepresentation
bin111110010011000111000
310211201021102
413302120320
51010311100
6111430532
723231414
oct7623070
93751242
102041400
111174809
12825448
1356623a
143b1d44
152a4cd5
hex1f2638

2041400 has 48 divisors (see below), whose sum is σ = 4854600. Its totient is φ = 798080.

The previous prime is 2041387. The next prime is 2041421. The reversal of 2041400 is 41402.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11714 + ... + 11886.

22041400 is an apocalyptic number.

2041400 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 2041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427300).

2041400 is an abundant number, since it is smaller than the sum of its proper divisors (2813200).

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

2041400 is a wasteful number, since it uses less digits than its factorization.

2041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2041400 is about 1428.7756996814. The cubic root of 2041400 is about 126.8555200746.

Adding to 2041400 its reverse (41402), we get a palindrome (2082802).

The spelling of 2041400 in words is "two million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 173 200 236 295 346 472 590 692 865 1180 1384 1475 1730 2360 2950 3460 4325 5900 6920 8650 10207 11800 17300 20414 34600 40828 51035 81656 102070 204140 255175 408280 510350 1020700 2041400