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66830544 = 243211311361
BaseRepresentation
bin1111111011110…
…0000011010000
311122202100021100
43332330003100
5114102034134
610344224400
71441023144
oct376740320
9148670240
1066830544
11347a6860
121a46b100
1310acc001
148c39224
155d01999
hex3fbc0d0

66830544 has 120 divisors (see below), whose sum is σ = 210772224. Its totient is φ = 19584000.

The previous prime is 66830527. The next prime is 66830549. The reversal of 66830544 is 44503866.

It is a super-2 number, since 2×668305442 = 8932643222671872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66830499 and 66830508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66830549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48424 + ... + 49784.

Almost surely, 266830544 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 66830544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386112).

66830544 is an abundant number, since it is smaller than the sum of its proper divisors (143941680).

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

66830544 is a wasteful number, since it uses less digits than its factorization.

66830544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66830544 is about 8174.9950458701. The cubic root of 66830544 is about 405.8121061869.

The spelling of 66830544 in words is "sixty-six million, eight hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1361 1364 1488 1584 2046 2232 2722 2728 3069 4083 4092 4464 5444 5456 6138 8166 8184 10888 12249 12276 14971 16332 16368 21776 24498 24552 29942 32664 42191 44913 48996 49104 59884 65328 84382 89826 97992 119768 126573 134739 168764 179652 195984 239536 253146 269478 337528 359304 379719 464101 506292 538956 675056 718608 759438 928202 1012584 1077912 1392303 1518876 1856404 2025168 2155824 2784606 3037752 3712808 4176909 5569212 6075504 7425616 8353818 11138424 16707636 22276848 33415272 66830544