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14160000 = 2735459
BaseRepresentation
bin110110000001…
…000010000000
3222122101212110
4312001002000
512111110000
61223255320
7231233541
oct66010200
928571773
1014160000
117aa1688
1248aa540
132c1a1ca
141c484c8
15139a850
hexd81080

14160000 has 160 divisors (see below), whose sum is σ = 47797200. Its totient is φ = 3712000.

The previous prime is 14159983. The next prime is 14160001. The reversal of 14160000 is 6141.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (14160001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239971 + ... + 240029.

Almost surely, 214160000 is an apocalyptic number.

14160000 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 14160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898600).

14160000 is an abundant number, since it is smaller than the sum of its proper divisors (33637200).

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

14160000 is an frugal number, since it uses more digits than its factorization.

14160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14160000 is about 3762.9775444454. The cubic root of 14160000 is about 241.9289001793.

Adding to 14160000 its reverse (6141), we get a palindrome (14166141).

The spelling of 14160000 in words is "fourteen million, one hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 64 75 80 96 100 118 120 125 128 150 160 177 192 200 236 240 250 295 300 320 354 375 384 400 472 480 500 590 600 625 640 708 750 800 885 944 960 1000 1180 1200 1250 1416 1475 1500 1600 1770 1875 1888 1920 2000 2360 2400 2500 2832 2950 3000 3200 3540 3750 3776 4000 4425 4720 4800 5000 5664 5900 6000 7080 7375 7500 7552 8000 8850 9440 9600 10000 11328 11800 12000 14160 14750 15000 16000 17700 18880 20000 22125 22656 23600 24000 28320 29500 30000 35400 36875 37760 40000 44250 47200 48000 56640 59000 60000 70800 73750 80000 88500 94400 110625 113280 118000 120000 141600 147500 177000 188800 221250 236000 240000 283200 295000 354000 442500 472000 566400 590000 708000 885000 944000 1180000 1416000 1770000 2360000 2832000 3540000 4720000 7080000 14160000