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16440000 = 26354137
BaseRepresentation
bin111110101101…
…101011000000
31010221020102220
4332231223000
513202040000
61344211040
7256511013
oct76555300
933836386
1016440000
119309685
125609a80
133537c15
14227d37a
15169b1a0
hexfadac0

16440000 has 140 divisors (see below), whose sum is σ = 54751224. Its totient is φ = 4352000.

The previous prime is 16439999. The next prime is 16440007. The reversal of 16440000 is 4461.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119932 + ... + 120068.

Almost surely, 216440000 is an apocalyptic number.

16440000 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 16440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27375612).

16440000 is an abundant number, since it is smaller than the sum of its proper divisors (38311224).

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

16440000 is an equidigital number, since it uses as much as digits as its factorization.

16440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 16440000 is about 4054.6269865427. The cubic root of 16440000 is about 254.2732092371.

Adding to 16440000 its reverse (4461), we get a palindrome (16444461).

The spelling of 16440000 in words is "sixteen million, four hundred forty 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 96 100 120 125 137 150 160 192 200 240 250 274 300 320 375 400 411 480 500 548 600 625 685 750 800 822 960 1000 1096 1200 1250 1370 1500 1600 1644 1875 2000 2055 2192 2400 2500 2740 3000 3288 3425 3750 4000 4110 4384 4800 5000 5480 6000 6576 6850 7500 8000 8220 8768 10000 10275 10960 12000 13152 13700 15000 16440 17125 20000 20550 21920 24000 26304 27400 30000 32880 34250 40000 41100 43840 51375 54800 60000 65760 68500 82200 85625 102750 109600 120000 131520 137000 164400 171250 205500 219200 256875 274000 328800 342500 411000 513750 548000 657600 685000 822000 1027500 1096000 1370000 1644000 2055000 2740000 3288000 4110000 5480000 8220000 16440000