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20529024 = 273193277
BaseRepresentation
bin100111001001…
…1111110000000
31102121222112020
41032103332000
520223412044
62012001440
7336331245
oct116237600
942558466
1020529024
111065183a
126a60280
13433a169
142a255cc
151c07a19
hex1393f80

20529024 has 64 divisors (see below), whose sum is σ = 55010640. Its totient is φ = 6782976.

The previous prime is 20529023. The next prime is 20529031. The reversal of 20529024 is 42092502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20528985 and 20529003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20529023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73974 + ... + 74250.

Almost surely, 220529024 is an apocalyptic number.

20529024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27505320).

20529024 is an abundant number, since it is smaller than the sum of its proper divisors (34481616).

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

20529024 is a wasteful number, since it uses less digits than its factorization.

20529024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20529024 is about 4530.8966000120. The cubic root of 20529024 is about 273.8142844380.

The spelling of 20529024 in words is "twenty million, five hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 277 384 386 554 579 772 831 1108 1158 1544 1662 2216 2316 3088 3324 4432 4632 6176 6648 8864 9264 12352 13296 17728 18528 24704 26592 35456 37056 53184 53461 74112 106368 106922 160383 213844 320766 427688 641532 855376 1283064 1710752 2566128 3421504 5132256 6843008 10264512 20529024