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14122580 = 2251773569
BaseRepresentation
bin110101110111…
…111001010100
3222120111112112
4311313321110
512103410310
61222410152
7231016463
oct65677124
928514475
1014122580
117a7655a
124890958
132c06174
141c389da
15138e705
hexd77e54

14122580 has 48 divisors (see below), whose sum is σ = 31888080. Its totient is φ = 5234688.

The previous prime is 14122579. The next prime is 14122601. The reversal of 14122580 is 8522141.

14122580 = T101 + T102 + ... + T440.

It can be written as a sum of positive squares in 8 ways, for example, as 75076 + 14047504 = 274^2 + 3748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24536 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (664335).

Almost surely, 214122580 is an apocalyptic number.

14122580 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 14122580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944040).

14122580 is an abundant number, since it is smaller than the sum of its proper divisors (17765500).

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

14122580 is a wasteful number, since it uses less digits than its factorization.

14122580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 14122580 is about 3758.0021287913. The cubic root of 14122580 is about 241.7156006075.

The spelling of 14122580 in words is "fourteen million, one hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 569 730 1138 1241 1460 2276 2482 2845 4964 5690 6205 9673 11380 12410 19346 24820 38692 41537 48365 83074 96730 166148 193460 207685 415370 706129 830740 1412258 2824516 3530645 7061290 14122580