Search a number
-
+
6690384 = 243317911
BaseRepresentation
bin11001100001011001010000
3110120220111000
4121201121100
53203043014
6355222000
7110603331
oct31413120
913526430
106690384
11385a648
1222a7900
13150330c
14c62288
158c2509
hex661650

6690384 has 80 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 2096640.

The previous prime is 6690379. The next prime is 6690427. The reversal of 6690384 is 4830966.

It is a super-2 number, since 2×66903842 = 89522476134912, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889 + ... + 7799.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 26690384 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 6690384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

6690384 is an abundant number, since it is smaller than the sum of its proper divisors (13665456).

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

6690384 is a wasteful number, since it uses less digits than its factorization.

6690384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6690384 is about 2586.5776616989. The cubic root of 6690384 is about 188.4301302779.

The spelling of 6690384 in words is "six million, six hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 911 918 1224 1822 1836 2448 2733 3644 3672 5466 7288 7344 8199 10932 14576 15487 16398 21864 24597 30974 32796 43728 46461 49194 61948 65592 92922 98388 123896 131184 139383 185844 196776 247792 278766 371688 393552 418149 557532 743376 836298 1115064 1672596 2230128 3345192 6690384