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1331040 = 25354759
BaseRepresentation
bin101000100111101100000
32111121211210
411010331200
5320043130
644310120
714212404
oct5047540
92447753
101331040
1182a037
12542340
13377ac9
14269104
151b45b0
hex144f60

1331040 has 96 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 341504.

The previous prime is 1331039. The next prime is 1331041. The reversal of 1331040 is 401331.

It is an interprime number because it is at equal distance from previous prime (1331039) and next prime (1331041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22531 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

21331040 is an apocalyptic number.

1331040 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 1331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1331040 is an abundant number, since it is smaller than the sum of its proper divisors (3023520).

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

1331040 is a wasteful number, since it uses less digits than its factorization.

1331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1331040 is about 1153.7070685404. The cubic root of 1331040 is about 110.0011019173.

Adding to 1331040 its reverse (401331), we get a palindrome (1732371).

The spelling of 1331040 in words is "one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 59 60 80 94 96 118 120 141 160 177 188 235 236 240 282 295 354 376 470 472 480 564 590 705 708 752 885 940 944 1128 1180 1410 1416 1504 1770 1880 1888 2256 2360 2773 2820 2832 3540 3760 4512 4720 5546 5640 5664 7080 7520 8319 9440 11092 11280 13865 14160 16638 22184 22560 27730 28320 33276 41595 44368 55460 66552 83190 88736 110920 133104 166380 221840 266208 332760 443680 665520 1331040