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20435424 = 253212869
BaseRepresentation
bin100110111110…
…1000111100000
31102110020010120
41031331013200
520212413144
62010000240
7335461332
oct115750740
942406116
1020435424
1110598489
126a16080
134306689
1429dd452
151bd9e19
hex137d1e0

20435424 has 24 divisors (see below), whose sum is σ = 53643240. Its totient is φ = 6811776.

The previous prime is 20435423. The next prime is 20435447. The reversal of 20435424 is 42453402.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 20435394 and 20435403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435423) 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 3 ways as a sum of consecutive naturals, for example, 106339 + ... + 106530.

It is an arithmetic number, because the mean of its divisors is an integer number (2235135).

Almost surely, 220435424 is an apocalyptic number.

20435424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20435424 is an abundant number, since it is smaller than the sum of its proper divisors (33207816).

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

20435424 is a wasteful number, since it uses less digits than its factorization.

20435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212882 (or 212874 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 20435424 is about 4520.5557180506. Note that the first 3 decimals coincide. The cubic root of 20435424 is about 273.3975075704.

Adding to 20435424 its reverse (42453402), we get a palindrome (62888826).

The spelling of 20435424 in words is "twenty million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 212869 425738 638607 851476 1277214 1702952 2554428 3405904 5108856 6811808 10217712 20435424