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66440000 = 265411151
BaseRepresentation
bin1111110101110…
…0101101000000
311122000111112202
43331130231000
5114002040000
610332012332
71434505424
oct375345500
9148014482
1066440000
113455a3a0
121a3010a8
13109c3313
148b76b84
155c75dd5
hex3f5cb40

66440000 has 140 divisors (see below), whose sum is σ = 180917088. Its totient is φ = 24000000.

The previous prime is 66439981. The next prime is 66440009. The reversal of 66440000 is 4466.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66440009) 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, 439925 + ... + 440075.

Almost surely, 266440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90458544).

66440000 is an abundant number, since it is smaller than the sum of its proper divisors (114477088).

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

66440000 is a wasteful number, since it uses less digits than its factorization.

66440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 66440000 is about 8151.0735489259. The cubic root of 66440000 is about 405.0200670847.

Adding to 66440000 its reverse (4466), we get a palindrome (66444466).

The spelling of 66440000 in words is "sixty-six million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 151 160 176 200 220 250 275 302 320 352 400 440 500 550 604 625 704 755 800 880 1000 1100 1208 1250 1375 1510 1600 1661 1760 2000 2200 2416 2500 2750 3020 3322 3520 3775 4000 4400 4832 5000 5500 6040 6644 6875 7550 8000 8305 8800 9664 10000 11000 12080 13288 13750 15100 16610 17600 18875 20000 22000 24160 26576 27500 30200 33220 37750 40000 41525 44000 48320 53152 55000 60400 66440 75500 83050 88000 94375 106304 110000 120800 132880 151000 166100 188750 207625 220000 241600 265760 302000 332200 377500 415250 440000 531520 604000 664400 755000 830500 1038125 1208000 1328800 1510000 1661000 2076250 2657600 3020000 3322000 4152500 6040000 6644000 8305000 13288000 16610000 33220000 66440000