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20625024 = 27377673
BaseRepresentation
bin100111010101…
…1011010000000
31102210212012210
41032223122000
520240000044
62014022120
7340211160
oct116533200
942725183
1020625024
1110707982
126aa7940
134371a74
142a4c5a0
151c261b9
hex13ab680

20625024 has 64 divisors (see below), whose sum is σ = 62619840. Its totient is φ = 5892096.

The previous prime is 20625023. The next prime is 20625041. The reversal of 20625024 is 42052602.

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 (21).

It is not an unprimeable number, because it can be changed into a prime (20625023) 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 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 6524.

It is an arithmetic number, because the mean of its divisors is an integer number (978435).

Almost surely, 220625024 is an apocalyptic number.

20625024 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 20625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31309920).

20625024 is an abundant number, since it is smaller than the sum of its proper divisors (41994816).

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

20625024 is an equidigital number, since it uses as much as digits as its factorization.

20625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20625024 is about 4541.4781734585. The cubic root of 20625024 is about 274.2404339936.

Adding to 20625024 its reverse (42052602), we get a palindrome (62677626).

The spelling of 20625024 in words is "twenty million, six hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 7673 15346 23019 30692 46038 53711 61384 92076 107422 122768 161133 184152 214844 245536 322266 368304 429688 491072 644532 736608 859376 982144 1289064 1473216 1718752 2578128 2946432 3437504 5156256 6875008 10312512 20625024