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1132080 = 24355389
BaseRepresentation
bin100010100011000110000
32010111220220
410110120300
5242211310
640133040
712423345
oct4243060
92114826
101132080
11703604
12467180
13308391
142167cc
15175670
hex114630

1132080 has 80 divisors (see below), whose sum is σ = 3615840. Its totient is φ = 292864.

The previous prime is 1132067. The next prime is 1132091. The reversal of 1132080 is 802311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 12676 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (45198).

21132080 is an apocalyptic number.

1132080 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 1132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807920).

1132080 is an abundant number, since it is smaller than the sum of its proper divisors (2483760).

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

1132080 is a wasteful number, since it uses less digits than its factorization.

1132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1132080 is about 1063.9924811764. The cubic root of 1132080 is about 104.2219127388.

Adding to 1132080 its reverse (802311), we get a palindrome (1934391).

The spelling of 1132080 in words is "one million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 89 106 120 159 178 212 240 265 267 318 356 424 445 530 534 636 712 795 848 890 1060 1068 1272 1335 1424 1590 1780 2120 2136 2544 2670 3180 3560 4240 4272 4717 5340 6360 7120 9434 10680 12720 14151 18868 21360 23585 28302 37736 47170 56604 70755 75472 94340 113208 141510 188680 226416 283020 377360 566040 1132080