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1968525 = 325213673
BaseRepresentation
bin111100000100110001101
310201000022100
413200212031
51000443100
6110105313
722506066
oct7404615
93630270
101968525
111124a89
127ab239
1353c010
1439356d
1528d400
hex1e098d

1968525 has 36 divisors (see below), whose sum is σ = 3802708. Its totient is φ = 967680.

The previous prime is 1968521. The next prime is 1968539. The reversal of 1968525 is 5258691.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 335241 + 1633284 = 579^2 + 1278^2 .

It is not a de Polignac number, because 1968525 - 22 = 1968521 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1968525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2589 + ... + 3261.

21968525 is an apocalyptic number.

1968525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1968525 is a deficient number, since it is larger than the sum of its proper divisors (1834183).

1968525 is a wasteful number, since it uses less digits than its factorization.

1968525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1968525 is about 1403.0413393767. The cubic root of 1968525 is about 125.3276736228.

The spelling of 1968525 in words is "one million, nine hundred sixty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 673 975 2019 2925 3365 6057 8749 10095 16825 26247 30285 43745 50475 78741 131235 151425 218725 393705 656175 1968525