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16680000 = 26354139
BaseRepresentation
bin111111101000…
…010001000000
31011101102122210
4333220101000
513232230000
61353302120
7261530511
oct77502100
934342583
1016680000
119462a27
125704940
1335c022c
142302a08
1516e7350
hexfe8440

16680000 has 140 divisors (see below), whose sum is σ = 55544720. Its totient is φ = 4416000.

The previous prime is 16679987. The next prime is 16680019. The reversal of 16680000 is 8661.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119931 + ... + 120069.

It is an arithmetic number, because the mean of its divisors is an integer number (396748).

Almost surely, 216680000 is an apocalyptic number.

16680000 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 16680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27772360).

16680000 is an abundant number, since it is smaller than the sum of its proper divisors (38864720).

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

16680000 is an equidigital number, since it uses as much as digits as its factorization.

16680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16680000 is about 4084.1155713324. The cubic root of 16680000 is about 255.5045757022.

Adding to 16680000 its reverse (8661), we get a palindrome (16688661).

The spelling of 16680000 in words is "sixteen million, six hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 139 150 160 192 200 240 250 278 300 320 375 400 417 480 500 556 600 625 695 750 800 834 960 1000 1112 1200 1250 1390 1500 1600 1668 1875 2000 2085 2224 2400 2500 2780 3000 3336 3475 3750 4000 4170 4448 4800 5000 5560 6000 6672 6950 7500 8000 8340 8896 10000 10425 11120 12000 13344 13900 15000 16680 17375 20000 20850 22240 24000 26688 27800 30000 33360 34750 40000 41700 44480 52125 55600 60000 66720 69500 83400 86875 104250 111200 120000 133440 139000 166800 173750 208500 222400 260625 278000 333600 347500 417000 521250 556000 667200 695000 834000 1042500 1112000 1390000 1668000 2085000 2780000 3336000 4170000 5560000 8340000 16680000