Search a number
-
+
6730038 = 2327311723
BaseRepresentation
bin11001101011000100110110
3110122220212200
4121223010312
53210330123
6400125330
7111130050
oct31530466
913586780
106730038
113887417
122306846
131518393
14c728d0
158ce143
hex66b136

6730038 has 48 divisors (see below), whose sum is σ = 17212416. Its totient is φ = 1859760.

The previous prime is 6730037. The next prime is 6730043. The reversal of 6730038 is 8300376.

It is a happy number.

6730038 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×67300382 = 90586822962888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6729993 and 6730020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730033) 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, 3045 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (358592).

Almost surely, 26730038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6730038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606208).

6730038 is an abundant number, since it is smaller than the sum of its proper divisors (10482378).

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

6730038 is a wasteful number, since it uses less digits than its factorization.

6730038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6730038 is about 2594.2316781660. The cubic root of 6730038 is about 188.8016732053.

The spelling of 6730038 in words is "six million, seven hundred thirty thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1723 1953 3446 3906 5169 10338 12061 15507 24122 31014 36183 53413 72366 106826 108549 160239 217098 320478 373891 480717 747782 961434 1121673 2243346 3365019 6730038