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1130864 = 24723439
BaseRepresentation
bin100010100000101110000
32010110020212
410110011300
5242141424
640123252
712416660
oct4240560
92113225
101130864
117026a9
12466528
13307967
142161a0
1517510e
hex114170

1130864 has 40 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 462528.

The previous prime is 1130863. The next prime is 1130929. The reversal of 1130864 is 4680311.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130863) 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, 2357 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (65472).

21130864 is an apocalyptic number.

1130864 is a gapful number since it is divisible by the number (14) 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 1130864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

1130864 is an abundant number, since it is smaller than the sum of its proper divisors (1488016).

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

1130864 is a wasteful number, since it uses less digits than its factorization.

1130864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1130864 is about 1063.4208950364. The cubic root of 1130864 is about 104.1845834426.

The spelling of 1130864 in words is "one million, one hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 439 644 878 1288 1756 2576 3073 3512 6146 7024 10097 12292 20194 24584 40388 49168 70679 80776 141358 161552 282716 565432 1130864