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6628380 = 223511383
BaseRepresentation
bin11001010010010000011100
3110110202102120
4121102100130
53144102010
6354022540
7110224503
oct31222034
913422376
106628380
113818000
122277a50
1314b1025
14c4783a
158ade70
hex65241c

6628380 has 96 divisors (see below), whose sum is σ = 20659968. Its totient is φ = 1587520.

The previous prime is 6628379. The next prime is 6628403. The reversal of 6628380 is 838266.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79819 + ... + 79901.

It is an arithmetic number, because the mean of its divisors is an integer number (215208).

Almost surely, 26628380 is an apocalyptic number.

6628380 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 6628380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329984).

6628380 is an abundant number, since it is smaller than the sum of its proper divisors (14031588).

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

6628380 is a wasteful number, since it uses less digits than its factorization.

6628380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6628380 is about 2574.5640407650. The cubic root of 6628380 is about 187.8462225219.

It can be divided in two parts, 66 and 28380, that multiplied together give a triangular number (1873080 = T1935).

The spelling of 6628380 in words is "six million, six hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 121 132 165 166 220 242 249 330 332 363 415 484 498 605 660 726 830 913 996 1210 1245 1331 1452 1660 1815 1826 2420 2490 2662 2739 3630 3652 3993 4565 4980 5324 5478 6655 7260 7986 9130 10043 10956 13310 13695 15972 18260 19965 20086 26620 27390 30129 39930 40172 50215 54780 60258 79860 100430 110473 120516 150645 200860 220946 301290 331419 441892 552365 602580 662838 1104730 1325676 1657095 2209460 3314190 6628380