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14712390 = 23257112193
BaseRepresentation
bin111000000111…
…111001000110
31000200110121100
4320013321012
512231244030
61243200530
7236024160
oct70077106
930613540
1014712390
118339700
124b16146
133081774
141d4d930
151459360
hexe07e46

14712390 has 144 divisors (see below), whose sum is σ = 48301344. Its totient is φ = 3041280.

The previous prime is 14712389. The next prime is 14712391. The reversal of 14712390 is 9321741.

14712390 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 is an interprime number because it is at equal distance from previous prime (14712389) and next prime (14712391).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14712391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76134 + ... + 76326.

It is an arithmetic number, because the mean of its divisors is an integer number (335426).

Almost surely, 214712390 is an apocalyptic number.

14712390 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 14712390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150672).

14712390 is an abundant number, since it is smaller than the sum of its proper divisors (33588954).

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

14712390 is a wasteful number, since it uses less digits than its factorization.

14712390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14712390 is about 3835.6733437560. The cubic root of 14712390 is about 245.0347861200.

The spelling of 14712390 in words is "fourteen million, seven hundred twelve thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 193 198 210 231 242 315 330 363 385 386 462 495 579 605 630 693 726 770 847 965 990 1089 1155 1158 1210 1351 1386 1694 1737 1815 1930 2123 2178 2310 2541 2702 2895 3465 3474 3630 4053 4235 4246 5082 5445 5790 6369 6755 6930 7623 8106 8470 8685 10615 10890 12159 12705 12738 13510 14861 15246 17370 19107 20265 21230 23353 24318 25410 29722 31845 38115 38214 40530 44583 46706 60795 63690 70059 74305 76230 89166 95535 116765 121590 133749 140118 148610 163471 191070 210177 222915 233530 267498 326942 350295 420354 445830 490413 668745 700590 817355 980826 1050885 1337490 1471239 1634710 2101770 2452065 2942478 4904130 7356195 14712390