Search a number
-
+
6672300 = 2235223967
BaseRepresentation
bin11001011100111110101100
3110112222200020
4121130332230
53202003200
6355002140
7110466525
oct31347654
913488606
106672300
113847aa8
122299350
1314c800b
14c5984c
158bbea0
hex65cfac

6672300 has 72 divisors (see below), whose sum is σ = 20165376. Its totient is φ = 1700160.

The previous prime is 6672283. The next prime is 6672301. The reversal of 6672300 is 32766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672301) 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, 6417 + ... + 7383.

Almost surely, 26672300 is an apocalyptic number.

6672300 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 6672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082688).

6672300 is an abundant number, since it is smaller than the sum of its proper divisors (13493076).

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

6672300 is a wasteful number, since it uses less digits than its factorization.

6672300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 6672300 is about 2583.0795574275. The cubic root of 6672300 is about 188.2602025479.

The spelling of 6672300 in words is "six million, six hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 967 1150 1380 1725 1934 2300 2901 3450 3868 4835 5802 6900 9670 11604 14505 19340 22241 24175 29010 44482 48350 58020 66723 72525 88964 96700 111205 133446 145050 222410 266892 290100 333615 444820 556025 667230 1112050 1334460 1668075 2224100 3336150 6672300