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14329000 = 235372389
BaseRepresentation
bin110110101010…
…010010101000
3222221222200201
4312222102220
512132012000
61231041544
7232536340
oct66522250
928858621
1014329000
1180a7654
1249702b4
132c790ca
141c8dd20
1513d096a
hexdaa4a8

14329000 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 4646400.

The previous prime is 14328997. The next prime is 14329009. The reversal of 14329000 is 92341.

It is not an unprimeable number, because it can be changed into a prime (14329009) 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 31 ways as a sum of consecutive naturals, for example, 160956 + ... + 161044.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 214329000 is an apocalyptic number.

14329000 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 14329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

14329000 is an abundant number, since it is smaller than the sum of its proper divisors (26106200).

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

14329000 is a wasteful number, since it uses less digits than its factorization.

14329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 14329000 is about 3785.3665608498. The cubic root of 14329000 is about 242.8875723940.

The spelling of 14329000 in words is "fourteen million, three hundred twenty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 89 92 100 115 125 140 161 175 178 184 200 230 250 280 322 350 356 445 460 500 575 623 644 700 712 805 875 890 920 1000 1150 1246 1288 1400 1610 1750 1780 2047 2225 2300 2492 2875 3115 3220 3500 3560 4025 4094 4450 4600 4984 5750 6230 6440 7000 8050 8188 8900 10235 11125 11500 12460 14329 15575 16100 16376 17800 20125 20470 22250 23000 24920 28658 31150 32200 40250 40940 44500 51175 57316 62300 71645 77875 80500 81880 89000 102350 114632 124600 143290 155750 161000 204700 255875 286580 311500 358225 409400 511750 573160 623000 716450 1023500 1432900 1791125 2047000 2865800 3582250 7164500 14329000