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14121540 = 2234523379
BaseRepresentation
bin110101110111…
…101001000100
3222120110010000
4311313221010
512103342130
61222401300
7231013446
oct65675104
928513100
1014121540
117a757a4
124890230
132c05854
141c38496
15138e260
hexd77a44

14121540 has 120 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 3592512.

The previous prime is 14121533. The next prime is 14121553. The reversal of 14121540 is 4512141.

14121540 is a `hidden beast` number, since 1 + 4 + 121 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37071 + ... + 37449.

It is an arithmetic number, because the mean of its divisors is an integer number (386232).

Almost surely, 214121540 is an apocalyptic number.

14121540 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 14121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

14121540 is an abundant number, since it is smaller than the sum of its proper divisors (32226300).

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

14121540 is a wasteful number, since it uses less digits than its factorization.

14121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14121540 is about 3757.8637548480. The cubic root of 14121540 is about 241.7096670742.

Adding to 14121540 its reverse (4512141), we get a palindrome (18633681).

The spelling of 14121540 in words is "fourteen million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 379 405 414 460 540 621 690 758 810 828 1035 1137 1242 1380 1516 1620 1863 1895 2070 2274 2484 3105 3411 3726 3790 4140 4548 5685 6210 6822 7452 7580 8717 9315 10233 11370 12420 13644 17055 17434 18630 20466 22740 26151 30699 34110 34868 37260 40932 43585 51165 52302 61398 68220 78453 87170 102330 104604 122796 130755 153495 156906 174340 204660 235359 261510 306990 313812 392265 470718 523020 613980 706077 784530 941436 1176795 1412154 1569060 2353590 2824308 3530385 4707180 7060770 14121540