[go: up one dir, main page]

Search a number
-
+
6369660 = 22325113217
BaseRepresentation
bin11000010011000101111100
3102222121112100
4120103011330
53112312120
6344305100
7105066303
oct30230574
912877470
106369660
113660690
122172190
13142033b
14bbb43a
1585c490
hex61317c

6369660 has 72 divisors (see below), whose sum is σ = 21084336. Its totient is φ = 1543680.

The previous prime is 6369653. The next prime is 6369667. The reversal of 6369660 is 669636.

It is an interprime number because it is at equal distance from previous prime (6369653) and next prime (6369667).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6369667) 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 23 ways as a sum of consecutive naturals, for example, 372 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (292838).

Almost surely, 26369660 is an apocalyptic number.

6369660 is a gapful number since it is divisible by the number (60) 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 6369660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542168).

6369660 is an abundant number, since it is smaller than the sum of its proper divisors (14714676).

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

6369660 is a wasteful number, since it uses less digits than its factorization.

6369660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6369660 is about 2523.8185354736. The cubic root of 6369660 is about 185.3697014127.

It can be divided in two parts, 636 and 9660, that added together give a triangular number (10296 = T143).

The spelling of 6369660 in words is "six million, three hundred sixty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3217 6434 9651 12868 16085 19302 28953 32170 35387 38604 48255 57906 64340 70774 96510 106161 115812 141548 144765 176935 193020 212322 289530 318483 353870 424644 530805 579060 636966 707740 1061610 1273932 1592415 2123220 3184830 6369660