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14419920 = 243560083
BaseRepresentation
bin110111000000…
…011111010000
31000010121102010
4313000133100
512142414140
61233022520
7233365404
oct67003720
930117363
1014419920
118159999
1249b4a40
132cab5c8
141cb5104
1513ec880
hexdc07d0

14419920 has 40 divisors (see below), whose sum is σ = 44702496. Its totient is φ = 3845248.

The previous prime is 14419903. The next prime is 14419939. The reversal of 14419920 is 2991441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29802 + ... + 30281.

Almost surely, 214419920 is an apocalyptic number.

14419920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14419920 is an abundant number, since it is smaller than the sum of its proper divisors (30282576).

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

14419920 is a wasteful number, since it uses less digits than its factorization.

14419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60099 (or 60093 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 14419920 is about 3797.3569755818. The cubic root of 14419920 is about 243.4002109707.

The spelling of 14419920 in words is "fourteen million, four hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 60083 120166 180249 240332 300415 360498 480664 600830 720996 901245 961328 1201660 1441992 1802490 2403320 2883984 3604980 4806640 7209960 14419920