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20097984 = 263104677
BaseRepresentation
bin100110010101…
…0101111000000
31101211002020210
41030222233000
520121113414
61554434120
7332554464
oct114525700
941732223
1020097984
1110387a05
126892940
134218bca
1429524a4
151b6ee59
hex132abc0

20097984 has 28 divisors (see below), whose sum is σ = 53176424. Its totient is φ = 6699264.

The previous prime is 20097983. The next prime is 20097997. The reversal of 20097984 is 48979002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20097983) 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 3 ways as a sum of consecutive naturals, for example, 52147 + ... + 52530.

It is an arithmetic number, because the mean of its divisors is an integer number (1899158).

Almost surely, 220097984 is an apocalyptic number.

20097984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20097984 is an abundant number, since it is smaller than the sum of its proper divisors (33078440).

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

20097984 is a wasteful number, since it uses less digits than its factorization.

20097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104692 (or 104682 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 20097984 is about 4483.0775143867. The cubic root of 20097984 is about 271.8843222064.

The spelling of 20097984 in words is "twenty million, ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 104677 209354 314031 418708 628062 837416 1256124 1674832 2512248 3349664 5024496 6699328 10048992 20097984