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20153925 = 32521117479
BaseRepresentation
bin100110011100…
…0011001000101
31101220220222200
41030320121011
520124411200
61555545113
7333206541
oct114703105
941826880
1020153925
1110415a40
1268bb199
1342384cc
142968a21
151b81800
hex1338645

20153925 has 72 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 9177600.

The previous prime is 20153923. The next prime is 20153941. The reversal of 20153925 is 52935102.

It is not a de Polignac number, because 20153925 - 21 = 20153923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153921) 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, 41836 + ... + 42314.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 220153925 is an apocalyptic number.

20153925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20153925 is an abundant number, since it is smaller than the sum of its proper divisors (21629115).

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

20153925 is a wasteful number, since it uses less digits than its factorization.

20153925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

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

The square root of 20153925 is about 4489.3123081381. The cubic root of 20153925 is about 272.1363440216.

The spelling of 20153925 in words is "twenty million, one hundred fifty-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 479 495 561 765 825 935 1275 1437 1683 2395 2475 2805 3825 4311 4675 5269 7185 8143 8415 11975 14025 15807 21555 24429 26345 35925 40715 42075 47421 73287 79035 89573 107775 122145 131725 203575 237105 268719 366435 395175 447865 610725 806157 1185525 1343595 1832175 2239325 4030785 6717975 20153925