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1331440 = 245111789
BaseRepresentation
bin101000101000011110000
32111122101121
411011003300
5320101230
644312024
714213515
oct5050360
92448347
101331440
1182a370
12542614
13378046
1426930c
151b477a
hex1450f0

1331440 has 80 divisors (see below), whose sum is σ = 3615840. Its totient is φ = 450560.

The previous prime is 1331437. The next prime is 1331443. The reversal of 1331440 is 441331.

It is an interprime number because it is at equal distance from previous prime (1331437) and next prime (1331443).

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331443) 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, 14916 + ... + 15004.

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

21331440 is an apocalyptic number.

1331440 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 1331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807920).

1331440 is an abundant number, since it is smaller than the sum of its proper divisors (2284400).

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

1331440 is a wasteful number, since it uses less digits than its factorization.

1331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1331440 is about 1153.8804097479. The cubic root of 1331440 is about 110.0121198767.

Adding to 1331440 its reverse (441331), we get a palindrome (1772771).

It can be divided in two parts, 1331 and 440, that added together give a palindrome (1771).

The spelling of 1331440 in words is "one million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 89 110 136 170 176 178 187 220 272 340 356 374 440 445 680 712 748 880 890 935 979 1360 1424 1496 1513 1780 1870 1958 2992 3026 3560 3740 3916 4895 6052 7120 7480 7565 7832 9790 12104 14960 15130 15664 16643 19580 24208 30260 33286 39160 60520 66572 78320 83215 121040 133144 166430 266288 332860 665720 1331440