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14321920 = 28567167
BaseRepresentation
bin110110101000…
…100100000000
3222221121222111
4312220210000
512131300140
61230545104
7232506604
oct66504400
928847874
1014321920
1180a22a8
124968194
132c75b12
141c8b504
1513cd7ea
hexda8900

14321920 has 72 divisors (see below), whose sum is σ = 35025984. Its totient is φ = 5609472.

The previous prime is 14321903. The next prime is 14321921. The reversal of 14321920 is 2912341.

It is a junction number, because it is equal to n+sod(n) for n = 14321891 and 14321900.

It is not an unprimeable number, because it can be changed into a prime (14321921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85677 + ... + 85843.

It is an arithmetic number, because the mean of its divisors is an integer number (486472).

Almost surely, 214321920 is an apocalyptic number.

14321920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512992).

14321920 is an abundant number, since it is smaller than the sum of its proper divisors (20704064).

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

14321920 is an equidigital number, since it uses as much as digits as its factorization.

14321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 14321920 is about 3784.4312650648. The cubic root of 14321920 is about 242.8475619882.

The spelling of 14321920 in words is "fourteen million, three hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 167 256 268 320 334 335 536 640 668 670 835 1072 1280 1336 1340 1670 2144 2672 2680 3340 4288 5344 5360 6680 8576 10688 10720 11189 13360 17152 21376 21440 22378 26720 42752 42880 44756 53440 55945 85760 89512 106880 111890 179024 213760 223780 358048 447560 716096 895120 1432192 1790240 2864384 3580480 7160960 14321920