Search a number
-
+
1312500 = 223567
BaseRepresentation
bin101000000011011110100
32110200102010
411000123310
5314000000
644044220
714104350
oct5003364
92420363
101312500
11817112
12533670
1336c537
14262460
151add50
hex1406f4

1312500 has 84 divisors (see below), whose sum is σ = 4374944. Its totient is φ = 300000.

The previous prime is 1312471. The next prime is 1312513. The reversal of 1312500 is 52131.

It is a tau number, because it is divible by the number of its divisors (84).

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 187497 + ... + 187503.

21312500 is an apocalyptic number.

1312500 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 1312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187472).

1312500 is an abundant number, since it is smaller than the sum of its proper divisors (3062444).

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

1312500 is an frugal number, since it uses more digits than its factorization.

1312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1312500 is about 1145.6439237390. The cubic root of 1312500 is about 109.4879784972.

Adding to 1312500 its reverse (52131), we get a palindrome (1364631).

The spelling of 1312500 in words is "one million, three hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1500 1750 1875 2100 2500 2625 3125 3500 3750 4375 5250 6250 7500 8750 9375 10500 12500 13125 15625 17500 18750 21875 26250 31250 37500 43750 46875 52500 62500 65625 87500 93750 109375 131250 187500 218750 262500 328125 437500 656250 1312500