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20523726 = 2331779283
BaseRepresentation
bin100111001001…
…0101011001110
31102121201021000
41032102223032
520223224401
62011521130
7336306636
oct116225316
942551230
1020523726
1110648863
126a591a6
134337922
142a236c6
151c06186
hex1392ace

20523726 has 64 divisors (see below), whose sum is σ = 49075200. Its totient is φ = 6334848.

The previous prime is 20523721. The next prime is 20523787. The reversal of 20523726 is 62732502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20523726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72381 + ... + 72663.

It is an arithmetic number, because the mean of its divisors is an integer number (766800).

Almost surely, 220523726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20523726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537600).

20523726 is an abundant number, since it is smaller than the sum of its proper divisors (28551474).

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

20523726 is a wasteful number, since it uses less digits than its factorization.

20523726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20523726 is about 4530.3119097916. The cubic root of 20523726 is about 273.7907276615.

It can be divided in two parts, 2052 and 3726, that added together give a triangular number (5778 = T107).

The spelling of 20523726 in words is "twenty million, five hundred twenty-three thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 283 306 459 474 566 711 849 918 1343 1422 1698 2133 2547 2686 4029 4266 4811 5094 7641 8058 9622 12087 14433 15282 22357 24174 28866 36261 43299 44714 67071 72522 86598 129897 134142 201213 259794 380069 402426 603639 760138 1140207 1207278 2280414 3420621 6841242 10261863 20523726