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18913920 = 27359851
BaseRepresentation
bin100100000100…
…1101010000000
31022120221000120
41020021222000
514320221140
61513220240
7316523424
oct110115200
938527016
1018913920
11a749343
126401680
133bc2c8c
142724b84
1519d91d0
hex1209a80

18913920 has 64 divisors (see below), whose sum is σ = 60294240. Its totient is φ = 5043200.

The previous prime is 18913913. The next prime is 18913927. The reversal of 18913920 is 2931981.

It is an interprime number because it is at equal distance from previous prime (18913913) and next prime (18913927).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18913927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3006 + ... + 6845.

Almost surely, 218913920 is an apocalyptic number.

18913920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18913920 is an abundant number, since it is smaller than the sum of its proper divisors (41380320).

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

18913920 is an equidigital number, since it uses as much as digits as its factorization.

18913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 18913920 is about 4349.0136812845. The cubic root of 18913920 is about 266.4365793092.

The spelling of 18913920 in words is "eighteen million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 9851 19702 29553 39404 49255 59106 78808 98510 118212 147765 157616 197020 236424 295530 315232 394040 472848 591060 630464 788080 945696 1182120 1260928 1576160 1891392 2364240 3152320 3782784 4728480 6304640 9456960 18913920