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1135240 = 235101281
BaseRepresentation
bin100010101001010001000
32010200020221
410111022020
5242311430
640155424
712435511
oct4251210
92120227
101135240
11705a17
12468b74
13309952
14217a08
1517657a
hex115288

1135240 has 32 divisors (see below), whose sum is σ = 2588760. Its totient is φ = 448000.

The previous prime is 1135237. The next prime is 1135241. The reversal of 1135240 is 425311.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 7396 = 1062^2 + 86^2 .

It is not an unprimeable number, because it can be changed into a prime (1135241) 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, 3900 + ... + 4180.

21135240 is an apocalyptic number.

1135240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135240 is an abundant number, since it is smaller than the sum of its proper divisors (1453520).

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

1135240 is a wasteful number, since it uses less digits than its factorization.

1135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1135240 is about 1065.4764192604. The cubic root of 1135240 is about 104.3187949633.

It can be divided in two parts, 11 and 35240, that multiplied together give a triangular number (387640 = T880).

The spelling of 1135240 in words is "one million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 281 404 505 562 808 1010 1124 1405 2020 2248 2810 4040 5620 11240 28381 56762 113524 141905 227048 283810 567620 1135240