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1308000 = 25353109
BaseRepresentation
bin100111111010101100000
32110110020110
410333111200
5313324000
644011320
714055261
oct4772540
92413213
101308000
118137a1
12530b40
1336a485
14260968
151ac850
hex13f560

1308000 has 96 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 345600.

The previous prime is 1307993. The next prime is 1308011. The reversal of 1308000 is 8031.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11946 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

21308000 is an apocalyptic number.

1308000 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 1308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1308000 is an abundant number, since it is smaller than the sum of its proper divisors (3016320).

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

1308000 is a wasteful number, since it uses less digits than its factorization.

1308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1308000 is about 1143.6782764397. The cubic root of 1308000 is about 109.3627061012.

The spelling of 1308000 in words is "one million, three hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 125 150 160 200 218 240 250 300 327 375 400 436 480 500 545 600 654 750 800 872 1000 1090 1200 1308 1500 1635 1744 2000 2180 2400 2616 2725 3000 3270 3488 4000 4360 5232 5450 6000 6540 8175 8720 10464 10900 12000 13080 13625 16350 17440 21800 26160 27250 32700 40875 43600 52320 54500 65400 81750 87200 109000 130800 163500 218000 261600 327000 436000 654000 1308000