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14442660 = 223251941103
BaseRepresentation
bin110111000110…
…000010100100
31000011202121100
4313012002210
512144131120
61233320100
7233521611
oct67060244
930152540
1014442660
118174a91
124a06030
132cb8a6b
141cbd508
151404490
hexdc60a4

14442660 has 144 divisors (see below), whose sum is σ = 47698560. Its totient is φ = 3525120.

The previous prime is 14442647. The next prime is 14442671. The reversal of 14442660 is 6624441.

14442660 = T335 + T336 + ... + T498.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140169 + ... + 140271.

It is an arithmetic number, because the mean of its divisors is an integer number (331240).

Almost surely, 214442660 is an apocalyptic number.

14442660 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 14442660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280).

14442660 is an abundant number, since it is smaller than the sum of its proper divisors (33255900).

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

14442660 is a wasteful number, since it uses less digits than its factorization.

14442660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14442660 is about 3800.3499838831. The cubic root of 14442660 is about 243.5280899476.

The spelling of 14442660 in words is "fourteen million, four hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 103 114 123 164 171 180 190 205 206 228 246 285 309 342 369 380 410 412 492 515 570 615 618 684 738 779 820 855 927 1030 1140 1230 1236 1476 1545 1558 1710 1845 1854 1957 2060 2337 2460 3090 3116 3420 3690 3708 3895 3914 4223 4635 4674 5871 6180 7011 7380 7790 7828 8446 9270 9348 9785 11685 11742 12669 14022 15580 16892 17613 18540 19570 21115 23370 23484 25338 28044 29355 35055 35226 38007 39140 42230 46740 50676 58710 63345 70110 70452 76014 80237 84460 88065 117420 126690 140220 152028 160474 176130 190035 240711 253380 320948 352260 380070 401185 481422 722133 760140 802370 962844 1203555 1444266 1604740 2407110 2888532 3610665 4814220 7221330 14442660