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1063120 = 24597137
BaseRepresentation
bin100000011100011010000
32000000022211
410003203100
5233004440
634441504
712015322
oct4034320
92000284
101063120
11666813
12433294
132b2b86
141d9612
1515eeea
hex1038d0

1063120 has 40 divisors (see below), whose sum is σ = 2515464. Its totient is φ = 417792.

The previous prime is 1063109. The next prime is 1063123. The reversal of 1063120 is 213601.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 944784 = 344^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10631202 = 2260448268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7692 + ... + 7828.

21063120 is an apocalyptic number.

1063120 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 1063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257732).

1063120 is an abundant number, since it is smaller than the sum of its proper divisors (1452344).

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

1063120 is a wasteful number, since it uses less digits than its factorization.

1063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1063120 is about 1031.0771067190. The cubic root of 1063120 is about 102.0612217369.

Adding to 1063120 its reverse (213601), we get a palindrome (1276721).

The spelling of 1063120 in words is "one million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 137 194 274 388 485 548 685 776 970 1096 1370 1552 1940 2192 2740 3880 5480 7760 10960 13289 26578 53156 66445 106312 132890 212624 265780 531560 1063120