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1320480 = 253257131
BaseRepresentation
bin101000010011000100000
32111002100200
411002120200
5314223410
644145200
714136540
oct5023040
92432320
101320480
11822107
12538200
13373065
14265320
151b13c0
hex142620

1320480 has 144 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 299520.

The previous prime is 1320437. The next prime is 1320533. The reversal of 1320480 is 840231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10015 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

21320480 is an apocalyptic number.

1320480 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 1320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

1320480 is an abundant number, since it is smaller than the sum of its proper divisors (3868704).

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

1320480 is a wasteful number, since it uses less digits than its factorization.

1320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1320480 is about 1149.1214035079. The cubic root of 1320480 is about 109.7094259380.

Subtracting from 1320480 its reverse (840231), we obtain a square (480249 = 6932).

The spelling of 1320480 in words is "one million, three hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 131 140 144 160 168 180 210 224 240 252 262 280 288 315 336 360 393 420 480 504 524 560 630 655 672 720 786 840 917 1008 1048 1120 1179 1260 1310 1440 1572 1680 1834 1965 2016 2096 2358 2520 2620 2751 3144 3360 3668 3930 4192 4585 4716 5040 5240 5502 5895 6288 7336 7860 8253 9170 9432 10080 10480 11004 11790 12576 13755 14672 15720 16506 18340 18864 20960 22008 23580 27510 29344 31440 33012 36680 37728 41265 44016 47160 55020 62880 66024 73360 82530 88032 94320 110040 132048 146720 165060 188640 220080 264096 330120 440160 660240 1320480