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6628020 = 2235743367
BaseRepresentation
bin11001010010001010110100
3110110201221020
4121102022310
53144044040
6354021140
7110223450
oct31221264
913421836
106628020
113817803
1222777b0
1314b0b09
14c47660
158adcd0
hex6522b4

6628020 has 96 divisors (see below), whose sum is σ = 21762048. Its totient is φ = 1475712.

The previous prime is 6628007. The next prime is 6628033. The reversal of 6628020 is 208266.

It is an interprime number because it is at equal distance from previous prime (6628007) and next prime (6628033).

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, 17877 + ... + 18243.

It is an arithmetic number, because the mean of its divisors is an integer number (226688).

Almost surely, 26628020 is an apocalyptic number.

6628020 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 6628020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881024).

6628020 is an abundant number, since it is smaller than the sum of its proper divisors (15134028).

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

6628020 is a wasteful number, since it uses less digits than its factorization.

6628020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6628020 is about 2574.4941250661. The cubic root of 6628020 is about 187.8428216977.

The spelling of 6628020 in words is "six million, six hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 367 420 430 516 602 645 734 860 903 1101 1204 1290 1468 1505 1806 1835 2202 2569 2580 3010 3612 3670 4404 4515 5138 5505 6020 7340 7707 9030 10276 11010 12845 15414 15781 18060 22020 25690 30828 31562 38535 47343 51380 63124 77070 78905 94686 110467 154140 157810 189372 220934 236715 315620 331401 441868 473430 552335 662802 946860 1104670 1325604 1657005 2209340 3314010 6628020