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20193525 = 32521141199
BaseRepresentation
bin100110100001…
…0000011110101
31101222221022100
41031002003311
520132143100
62000452313
7333433152
oct115020365
941887270
1020193525
1110442770
12691a099
134250541
142979229
151b8d400
hex13420f5

20193525 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 9504000.

The previous prime is 20193521. The next prime is 20193533. The reversal of 20193525 is 52539102.

It is not a de Polignac number, because 20193525 - 22 = 20193521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193521) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 101376 + ... + 101574.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 220193525 is an apocalyptic number.

20193525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20193525 is an abundant number, since it is smaller than the sum of its proper divisors (20428875).

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

20193525 is a wasteful number, since it uses less digits than its factorization.

20193525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20193525 is about 4493.7206188191. The cubic root of 20193525 is about 272.3144656312.

The spelling of 20193525 in words is "twenty million, one hundred ninety-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 199 205 225 275 369 451 495 597 615 825 995 1025 1353 1791 1845 2189 2255 2475 2985 3075 4059 4975 6567 6765 8159 8955 9225 10945 11275 14925 19701 20295 24477 32835 33825 40795 44775 54725 73431 89749 98505 101475 122385 164175 203975 269247 367155 448745 492525 611925 807741 1346235 1835775 2243725 4038705 6731175 20193525