Search a number
-
+
1309000 = 235371117
BaseRepresentation
bin100111111100101001000
32110111121111
410333211020
5313342000
644020104
714061220
oct4774510
92414544
101309000
11814520
12531634
1336aa74
14261080
151accba
hex13f948

1309000 has 128 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 384000.

The previous prime is 1308977. The next prime is 1309013. The reversal of 1309000 is 9031.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 76992 + ... + 77008.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

21309000 is an apocalyptic number.

1309000 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 1309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760).

1309000 is an abundant number, since it is smaller than the sum of its proper divisors (2734520).

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

1309000 is a wasteful number, since it uses less digits than its factorization.

1309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1309000 is about 1144.1153787971. The cubic root of 1309000 is about 109.3905692122.

The spelling of 1309000 in words is "one million, three hundred nine thousand".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 25 28 34 35 40 44 50 55 56 68 70 77 85 88 100 110 119 125 136 140 154 170 175 187 200 220 238 250 275 280 308 340 350 374 385 425 440 476 500 550 595 616 680 700 748 770 850 875 935 952 1000 1100 1190 1309 1375 1400 1496 1540 1700 1750 1870 1925 2125 2200 2380 2618 2750 2975 3080 3400 3500 3740 3850 4250 4675 4760 5236 5500 5950 6545 7000 7480 7700 8500 9350 9625 10472 11000 11900 13090 14875 15400 17000 18700 19250 23375 23800 26180 29750 32725 37400 38500 46750 52360 59500 65450 77000 93500 119000 130900 163625 187000 261800 327250 654500 1309000