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14628060 = 22335103263
BaseRepresentation
bin110111110011…
…010011011100
31000112011221000
4313303103130
512221044220
61241310300
7235223256
oct67632334
930464830
1014628060
118291307
124a95390
133052275
141d2acd6
15143e390
hexdf34dc

14628060 has 96 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 3848256.

The previous prime is 14628037. The next prime is 14628067. The reversal of 14628060 is 6082641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14628067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55489 + ... + 55751.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 214628060 is an apocalyptic number.

14628060 is a gapful number since it is divisible by the number (10) 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 14628060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

14628060 is an abundant number, since it is smaller than the sum of its proper divisors (31498020).

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

14628060 is a wasteful number, since it uses less digits than its factorization.

14628060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14628060 is about 3824.6646911854. The cubic root of 14628060 is about 244.5657168376.

The spelling of 14628060 in words is "fourteen million, six hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 263 270 309 412 515 526 540 618 789 927 1030 1052 1236 1315 1545 1578 1854 2060 2367 2630 2781 3090 3156 3708 3945 4635 4734 5260 5562 6180 7101 7890 9270 9468 11124 11835 13905 14202 15780 18540 23670 27089 27810 28404 35505 47340 54178 55620 71010 81267 108356 135445 142020 162534 243801 270890 325068 406335 487602 541780 731403 812670 975204 1219005 1462806 1625340 2438010 2925612 3657015 4876020 7314030 14628060