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19968525 = 355219173
BaseRepresentation
bin100110000101…
…1001000001101
31101120111200000
41030023020031
520102443100
61551554513
7331505163
oct114131015
941514600
1019968525
11102a9715
12682ba39
1341a1cc5
14291b233
151b46900
hex130b20d

19968525 has 72 divisors (see below), whose sum is σ = 39268320. Its totient is φ = 10031040.

The previous prime is 19968521. The next prime is 19968539. The reversal of 19968525 is 52586991.

It is not a de Polignac number, because 19968525 - 22 = 19968521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (194400) is a multiple of the sum of its prime divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115339 + ... + 115511.

Almost surely, 219968525 is an apocalyptic number.

19968525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19968525 is a deficient number, since it is larger than the sum of its proper divisors (19299795).

19968525 is a wasteful number, since it uses less digits than its factorization.

19968525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 19968525 is about 4468.6155574182. The cubic root of 19968525 is about 271.2992930725.

The spelling of 19968525 in words is "nineteen million, nine hundred sixty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 173 225 243 285 405 475 513 519 675 855 865 1215 1425 1539 1557 2025 2565 2595 3287 4275 4325 4617 4671 6075 7695 7785 9861 12825 12975 14013 16435 23085 23355 29583 38475 38925 42039 49305 70065 82175 88749 115425 116775 147915 210195 246525 266247 350325 443745 739575 798741 1050975 1331235 2218725 3993705 6656175 19968525