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1132420 = 225411381
BaseRepresentation
bin100010100011110000100
32010112101111
410110132010
5242214140
640134404
712424342
oct4243604
92115344
101132420
11703893
12467404
13308593
14216992
151757ea
hex114784

1132420 has 24 divisors (see below), whose sum is σ = 2437848. Its totient is φ = 441600.

The previous prime is 1132409. The next prime is 1132423. The reversal of 1132420 is 242311.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 1132096 = 18^2 + 1064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1132420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 1510.

It is an arithmetic number, because the mean of its divisors is an integer number (101577).

21132420 is an apocalyptic number.

1132420 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 1132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218924).

1132420 is an abundant number, since it is smaller than the sum of its proper divisors (1305428).

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

1132420 is a wasteful number, since it uses less digits than its factorization.

1132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1132420 is about 1064.1522447470. The cubic root of 1132420 is about 104.2323454242.

Adding to 1132420 its reverse (242311), we get a palindrome (1374731).

The spelling of 1132420 in words is "one million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1381 2762 5524 6905 13810 27620 56621 113242 226484 283105 566210 1132420