Search a number
-
+
1132416 = 2732983
BaseRepresentation
bin100010100011110000000
32010112101100
410110132000
5242214131
640134400
712424335
oct4243600
92115340
101132416
1170388a
12467400
1330858c
1421698c
151757e6
hex114780

1132416 has 48 divisors (see below), whose sum is σ = 3261960. Its totient is φ = 377088.

The previous prime is 1132409. The next prime is 1132423. The reversal of 1132416 is 6142311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132409) and next prime (1132423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 661 + ... + 1643.

21132416 is an apocalyptic number.

1132416 is a gapful number since it is divisible by the number (16) 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 1132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630980).

1132416 is an abundant number, since it is smaller than the sum of its proper divisors (2129544).

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

1132416 is an equidigital number, since it uses as much as digits as its factorization.

1132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132416 is about 1064.1503653150. The cubic root of 1132416 is about 104.2322226989.

Adding to 1132416 its reverse (6142311), we get a palindrome (7274727).

The spelling of 1132416 in words is "one million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 983 1152 1966 2949 3932 5898 7864 8847 11796 15728 17694 23592 31456 35388 47184 62912 70776 94368 125824 141552 188736 283104 377472 566208 1132416