Search a number
-
+
6690000 = 24354223
BaseRepresentation
bin11001100001010011010000
3110120212221210
4121201103100
53203040000
6355220120
7110602242
oct31412320
913525853
106690000
11385a329
1222a7640
1315030a5
14c62092
158c2350
hex6614d0

6690000 has 100 divisors (see below), whose sum is σ = 21693056. Its totient is φ = 1776000.

The previous prime is 6689999. The next prime is 6690001. The reversal of 6690000 is 966.

It is an interprime number because it is at equal distance from previous prime (6689999) and next prime (6690001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×66900002 = 89512200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6690001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29889 + ... + 30111.

Almost surely, 26690000 is an apocalyptic number.

6690000 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 6690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846528).

6690000 is an abundant number, since it is smaller than the sum of its proper divisors (15003056).

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

6690000 is a wasteful number, since it uses less digits than its factorization.

6690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6690000 is about 2586.5034312755. The cubic root of 6690000 is about 188.4265251756.

Adding to 6690000 its reverse (966), we get a palindrome (6690966).

The spelling of 6690000 in words is "six million, six hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 223 240 250 300 375 400 446 500 600 625 669 750 892 1000 1115 1200 1250 1338 1500 1784 1875 2000 2230 2500 2676 3000 3345 3568 3750 4460 5000 5352 5575 6000 6690 7500 8920 10000 10704 11150 13380 15000 16725 17840 22300 26760 27875 30000 33450 44600 53520 55750 66900 83625 89200 111500 133800 139375 167250 223000 267600 278750 334500 418125 446000 557500 669000 836250 1115000 1338000 1672500 2230000 3345000 6690000