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16080000 = 2735467
BaseRepresentation
bin111101010101…
…110010000000
31010020221121120
4331111302000
513104030000
61332352240
7253451316
oct75256200
933227546
1016080000
119093162
125475680
1334400c1
1421c80b6
1516296a0
hexf55c80

16080000 has 160 divisors (see below), whose sum is σ = 54170160. Its totient is φ = 4224000.

The previous prime is 16079993. The next prime is 16080017. The reversal of 16080000 is 8061.

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 (15).

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 19 ways as a sum of consecutive naturals, for example, 239967 + ... + 240033.

Almost surely, 216080000 is an apocalyptic number.

16080000 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 16080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085080).

16080000 is an abundant number, since it is smaller than the sum of its proper divisors (38090160).

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

16080000 is an frugal number, since it uses more digits than its factorization.

16080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16080000 is about 4009.9875311527. The cubic root of 16080000 is about 252.4034856440.

Adding to 16080000 its reverse (8061), we get a palindrome (16088061).

The spelling of 16080000 in words is "sixteen million, eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 120 125 128 134 150 160 192 200 201 240 250 268 300 320 335 375 384 400 402 480 500 536 600 625 640 670 750 800 804 960 1000 1005 1072 1200 1250 1340 1500 1600 1608 1675 1875 1920 2000 2010 2144 2400 2500 2680 3000 3200 3216 3350 3750 4000 4020 4288 4800 5000 5025 5360 6000 6432 6700 7500 8000 8040 8375 8576 9600 10000 10050 10720 12000 12864 13400 15000 16000 16080 16750 20000 20100 21440 24000 25125 25728 26800 30000 32160 33500 40000 40200 41875 42880 48000 50250 53600 60000 64320 67000 80000 80400 83750 100500 107200 120000 125625 128640 134000 160800 167500 201000 214400 240000 251250 268000 321600 335000 402000 502500 536000 643200 670000 804000 1005000 1072000 1340000 1608000 2010000 2680000 3216000 4020000 5360000 8040000 16080000