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6642480 = 2435132129
BaseRepresentation
bin11001010101101100110000
3110111110202210
4121111230300
53200024410
6354212120
7110313555
oct31255460
913443683
106642480
113827659
122284040
1314b7580
14c4ca2c
158b3220
hex655b30

6642480 has 80 divisors (see below), whose sum is σ = 22186080. Its totient is φ = 1634304.

The previous prime is 6642439. The next prime is 6642487. The reversal of 6642480 is 842466.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6642487) 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 15 ways as a sum of consecutive naturals, for example, 2056 + ... + 4184.

It is an arithmetic number, because the mean of its divisors is an integer number (277326).

Almost surely, 26642480 is an apocalyptic number.

6642480 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 6642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093040).

6642480 is an abundant number, since it is smaller than the sum of its proper divisors (15543600).

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

6642480 is a wasteful number, since it uses less digits than its factorization.

6642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6642480 is about 2577.3009137468. The cubic root of 6642480 is about 187.9793247219.

The spelling of 6642480 in words is "six million, six hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2129 3120 4258 6387 8516 10645 12774 17032 21290 25548 27677 31935 34064 42580 51096 55354 63870 83031 85160 102192 110708 127740 138385 166062 170320 221416 255480 276770 332124 415155 442832 510960 553540 664248 830310 1107080 1328496 1660620 2214160 3321240 6642480