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14279490 = 234517261
BaseRepresentation
bin110110011110…
…001101000010
3222212110210000
4312132031002
512123420430
61230020430
7232242111
oct66361502
928773700
1014279490
118073435
124947716
132c5c704
141c79c78
1513c0e60
hexd9e342

14279490 has 120 divisors (see below), whose sum is σ = 41456052. Its totient is φ = 3525120.

The previous prime is 14279479. The next prime is 14279519. The reversal of 14279490 is 9497241.

14279490 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6036849 + 8242641 = 2457^2 + 2871^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234060 + ... + 234120.

Almost surely, 214279490 is an apocalyptic number.

14279490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14279490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20728026).

14279490 is an abundant number, since it is smaller than the sum of its proper divisors (27176562).

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

14279490 is a wasteful number, since it uses less digits than its factorization.

14279490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14279490 is about 3778.8212447799. The cubic root of 14279490 is about 242.6075053856.

It can be divided in two parts, 142794 and 90, that added together give a square (142884 = 3782).

The spelling of 14279490 in words is "fourteen million, two hundred seventy-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 81 85 90 102 122 135 153 162 170 183 255 270 289 305 306 366 405 459 510 549 578 610 765 810 867 915 918 1037 1098 1377 1445 1530 1647 1734 1830 2074 2295 2601 2745 2754 2890 3111 3294 4335 4590 4941 5185 5202 5490 6222 6885 7803 8235 8670 9333 9882 10370 13005 13770 15555 15606 16470 17629 18666 23409 24705 26010 27999 31110 35258 39015 46665 46818 49410 52887 55998 78030 83997 88145 93330 105774 117045 139995 158661 167994 176290 234090 264435 279990 317322 419985 475983 528870 793305 839970 951966 1427949 1586610 2379915 2855898 4759830 7139745 14279490