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20624616 = 2332286453
BaseRepresentation
bin100111010101…
…1010011101000
31102210211122200
41032223103220
520234441431
62014020200
7340210035
oct116532350
942724580
1020624616
1110707641
126aa7660
13437181c
142a4c38c
151c25ee6
hex13ab4e8

20624616 has 24 divisors (see below), whose sum is σ = 55858530. Its totient is φ = 6874848.

The previous prime is 20624603. The next prime is 20624623. The reversal of 20624616 is 61642602.

It is a happy number.

20624616 is a `hidden beast` number, since 20 + 6 + 24 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18096516 + 2528100 = 4254^2 + 1590^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20624616.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 143155 + ... + 143298.

Almost surely, 220624616 is an apocalyptic number.

It is an amenable number.

20624616 is an abundant number, since it is smaller than the sum of its proper divisors (35233914).

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

20624616 is a wasteful number, since it uses less digits than its factorization.

20624616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286465 (or 286458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20624616 is about 4541.4332539409. The cubic root of 20624616 is about 274.2386256590.

The spelling of 20624616 in words is "twenty million, six hundred twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 286453 572906 859359 1145812 1718718 2291624 2578077 3437436 5156154 6874872 10312308 20624616