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1055300 = 225261173
BaseRepresentation
bin100000001101001000100
31222121121012
410001221010
5232232200
634341352
711653451
oct4015104
91877535
101055300
11660954
1242a858
132ac44c
141d6828
1515ca35
hex101a44

1055300 has 36 divisors (see below), whose sum is σ = 2340996. Its totient is φ = 412800.

The previous prime is 1055269. The next prime is 1055303. The reversal of 1055300 is 35501.

1055300 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 6 ways, for example, as 43264 + 1012036 = 208^2 + 1006^2 .

It is a super-2 number, since 2×10553002 = 2227316180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6014 + ... + 6186.

21055300 is an apocalyptic number.

1055300 is a gapful number since it is divisible by the number (10) 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 1055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170498).

1055300 is an abundant number, since it is smaller than the sum of its proper divisors (1285696).

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

1055300 is a wasteful number, since it uses less digits than its factorization.

1055300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 1055300 is about 1027.2779565434. The cubic root of 1055300 is about 101.8103614703.

The spelling of 1055300 in words is "one million, fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 173 244 305 346 610 692 865 1220 1525 1730 3050 3460 4325 6100 8650 10553 17300 21106 42212 52765 105530 211060 263825 527650 1055300