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6676272 = 243271653
BaseRepresentation
bin11001011101111100110000
3110120012010100
4121131330300
53202120042
6355032400
7110514231
oct31357460
913505110
106676272
11384aa89
12229b700
1314c9a75
14c5b088
158bd24c
hex65df30

6676272 has 60 divisors (see below), whose sum is σ = 18976464. Its totient is φ = 2190720.

The previous prime is 6676261. The next prime is 6676273. The reversal of 6676272 is 2726766.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 63 + 65 + 77 + 66 + 29 + 78 + 215 .

It is not an unprimeable number, because it can be changed into a prime (6676273) 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 11 ways as a sum of consecutive naturals, for example, 9898 + ... + 10550.

Almost surely, 26676272 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 6676272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488232).

6676272 is an abundant number, since it is smaller than the sum of its proper divisors (12300192).

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

6676272 is a wasteful number, since it uses less digits than its factorization.

6676272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 6676272 is about 2583.8482927602. The cubic root of 6676272 is about 188.2975520471.

The spelling of 6676272 in words is "six million, six hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 653 852 1136 1278 1306 1704 1959 2556 2612 3408 3918 5112 5224 5877 7836 10224 10448 11754 15672 23508 31344 46363 47016 92726 94032 139089 185452 278178 370904 417267 556356 741808 834534 1112712 1669068 2225424 3338136 6676272