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6740144 = 2431107127
BaseRepresentation
bin11001101101100010110000
3110200102201222
4121231202300
53211141034
6400244212
7111201365
oct31554260
913612658
106740144
113893a74
122310668
13151cb68
14c7646c
158d212e
hex66d8b0

6740144 has 40 divisors (see below), whose sum is σ = 13713408. Its totient is φ = 3205440.

The previous prime is 6740141. The next prime is 6740147. The reversal of 6740144 is 4410476.

It is an interprime number because it is at equal distance from previous prime (6740141) and next prime (6740147).

It is a super-2 number, since 2×67401442 = 90859082281472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6740141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53009 + ... + 53135.

Almost surely, 26740144 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 6740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704).

6740144 is an abundant number, since it is smaller than the sum of its proper divisors (6973264).

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

6740144 is a wasteful number, since it uses less digits than its factorization.

6740144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 6740144 is about 2596.1787303651. The cubic root of 6740144 is about 188.8961291086.

The spelling of 6740144 in words is "six million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 107 124 127 214 248 254 428 496 508 856 1016 1712 2032 3317 3937 6634 7874 13268 13589 15748 26536 27178 31496 53072 54356 62992 108712 217424 421259 842518 1685036 3370072 6740144