Search a number
-
+
1325730 = 235759107
BaseRepresentation
bin101000011101010100010
32111100120010
411003222202
5314410410
644225350
714161050
oct5035242
92440503
101325730
1182604a
1253b256
13375573
142671d0
151b2c20
hex143aa2

1325730 has 64 divisors (see below), whose sum is σ = 3732480. Its totient is φ = 295104.

The previous prime is 1325707. The next prime is 1325761. The reversal of 1325730 is 375231.

It is a happy number.

1325730 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1325697 and 1325706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12337 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

21325730 is an apocalyptic number.

1325730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866240).

1325730 is an abundant number, since it is smaller than the sum of its proper divisors (2406750).

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

1325730 is a wasteful number, since it uses less digits than its factorization.

1325730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 1325730 is about 1151.4034913965. The cubic root of 1325730 is about 109.8546289053.

The spelling of 1325730 in words is "one million, three hundred twenty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 107 118 177 210 214 295 321 354 413 535 590 642 749 826 885 1070 1239 1498 1605 1770 2065 2247 2478 3210 3745 4130 4494 6195 6313 7490 11235 12390 12626 18939 22470 31565 37878 44191 63130 88382 94695 132573 189390 220955 265146 441910 662865 1325730