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16950000 = 24355113
BaseRepresentation
bin100000010101…
…0001011110000
31011220011000210
41000222023300
513314400000
61403144120
7264033624
oct100521360
934804023
1016950000
119627871
125815040
1336860b2
142373184
15174c350
hex102a2f0

16950000 has 120 divisors (see below), whose sum is σ = 55215216. Its totient is φ = 4480000.

The previous prime is 16949993. The next prime is 16950013. The reversal of 16950000 is 5961.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149944 + ... + 150056.

Almost surely, 216950000 is an apocalyptic number.

16950000 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 16950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607608).

16950000 is an abundant number, since it is smaller than the sum of its proper divisors (38265216).

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

16950000 is an equidigital number, since it uses as much as digits as its factorization.

16950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 16950000 is about 4117.0377700478. The cubic root of 16950000 is about 256.8758250872.

Adding to 16950000 its reverse (5961), we get a palindrome (16955961).

The spelling of 16950000 in words is "sixteen million, nine hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 125 150 200 226 240 250 300 339 375 400 452 500 565 600 625 678 750 904 1000 1130 1200 1250 1356 1500 1695 1808 1875 2000 2260 2500 2712 2825 3000 3125 3390 3750 4520 5000 5424 5650 6000 6250 6780 7500 8475 9040 9375 10000 11300 12500 13560 14125 15000 16950 18750 22600 25000 27120 28250 30000 33900 37500 42375 45200 50000 56500 67800 70625 75000 84750 113000 135600 141250 150000 169500 211875 226000 282500 339000 353125 423750 565000 678000 706250 847500 1059375 1130000 1412500 1695000 2118750 2825000 3390000 4237500 5650000 8475000 16950000