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2055400 = 235243239
BaseRepresentation
bin111110101110011101000
310212102110221
413311303220
51011233100
6112015424
723320264
oct7656350
93772427
102055400
111184286
12831574
1356c719
143b70a4
152a901a
hex1f5ce8

2055400 has 48 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 799680.

The previous prime is 2055397. The next prime is 2055409. The reversal of 2055400 is 45502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2055409) 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, 8481 + ... + 8719.

It is an arithmetic number, because the mean of its divisors is an integer number (102300).

22055400 is an apocalyptic number.

2055400 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 2055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

2055400 is an abundant number, since it is smaller than the sum of its proper divisors (2855000).

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

2055400 is a wasteful number, since it uses less digits than its factorization.

2055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2055400 is about 1433.6666279160. Note that the first 4 decimals coincide. The cubic root of 2055400 is about 127.1448530115.

The spelling of 2055400 in words is "two million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 239 344 430 478 860 956 1075 1195 1720 1912 2150 2390 4300 4780 5975 8600 9560 10277 11950 20554 23900 41108 47800 51385 82216 102770 205540 256925 411080 513850 1027700 2055400