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1130960 = 24567211
BaseRepresentation
bin100010100000111010000
32010110101102
410110013100
5242142320
640123532
712420155
oct4240720
92113342
101130960
11702786
124665a8
13307a0c
1421622c
15175175
hex1141d0

1130960 has 40 divisors (see below), whose sum is σ = 2681376. Its totient is φ = 443520.

The previous prime is 1130957. The next prime is 1130963. The reversal of 1130960 is 690311.

It is an interprime number because it is at equal distance from previous prime (1130957) and next prime (1130963).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130963) 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, 5255 + ... + 5465.

21130960 is an apocalyptic number.

1130960 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 1130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340688).

1130960 is an abundant number, since it is smaller than the sum of its proper divisors (1550416).

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

1130960 is a wasteful number, since it uses less digits than its factorization.

1130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 1130960 is about 1063.4660314274. The cubic root of 1130960 is about 104.1875314649.

The spelling of 1130960 in words is "one million, one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 211 268 335 422 536 670 844 1055 1072 1340 1688 2110 2680 3376 4220 5360 8440 14137 16880 28274 56548 70685 113096 141370 226192 282740 565480 1130960