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20624004 = 2233434441
BaseRepresentation
bin100111010101…
…1001010000100
31102210210211000
41032223022010
520234432004
62014013300
7340205202
oct116531204
942723730
1020624004
1110707135
126aa7230
13437146b
142a4c072
151c25c39
hex13ab284

20624004 has 48 divisors (see below), whose sum is σ = 54725440. Its totient is φ = 6713280.

The previous prime is 20624003. The next prime is 20624041. The reversal of 20624004 is 40042602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20624003) 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 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 6864.

Almost surely, 220624004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20624004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27362720).

20624004 is an abundant number, since it is smaller than the sum of its proper divisors (34101436).

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

20624004 is a wasteful number, since it uses less digits than its factorization.

20624004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20624004 is about 4541.3658738314. The cubic root of 20624004 is about 274.2359131123.

Adding to 20624004 its reverse (40042602), we get a palindrome (60666606).

The spelling of 20624004 in words is "twenty million, six hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4441 4644 8882 13323 17764 26646 39969 53292 79938 119907 159876 190963 239814 381926 479628 572889 763852 1145778 1718667 2291556 3437334 5156001 6874668 10312002 20624004