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14241000 = 2335347101
BaseRepresentation
bin110110010100…
…110011101000
3222210111222110
4312110303220
512121203000
61225122320
7232021644
oct66246350
928714873
1014241000
118047524
1249293a0
132c48037
141c69c24
1513b4850
hexd94ce8

14241000 has 128 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 3680000.

The previous prime is 14240983. The next prime is 14241043. The reversal of 14241000 is 14241.

14241000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140950 + ... + 141050.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 214241000 is an apocalyptic number.

14241000 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 14241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

14241000 is an abundant number, since it is smaller than the sum of its proper divisors (31585560).

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

14241000 is a wasteful number, since it uses less digits than its factorization.

14241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14241000 is about 3773.7249502315. The cubic root of 14241000 is about 242.3893284631.

Adding to 14241000 its reverse (14241), we get a palindrome (14255241).

14241000 divided by its reverse (14241) gives a cube (1000 = 103).

The spelling of 14241000 in words is "fourteen million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 101 120 125 141 150 188 200 202 235 250 282 300 303 375 376 404 470 500 505 564 600 606 705 750 808 940 1000 1010 1128 1175 1212 1410 1500 1515 1880 2020 2350 2424 2525 2820 3000 3030 3525 4040 4700 4747 5050 5640 5875 6060 7050 7575 9400 9494 10100 11750 12120 12625 14100 14241 15150 17625 18988 20200 23500 23735 25250 28200 28482 30300 35250 37875 37976 47000 47470 50500 56964 60600 70500 71205 75750 94940 101000 113928 118675 141000 142410 151500 189880 237350 284820 303000 356025 474700 569640 593375 712050 949400 1186750 1424100 1780125 2373500 2848200 3560250 4747000 7120500 14241000