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14901390 = 23257231109
BaseRepresentation
bin111000110110…
…000010001110
31001001001212100
4320312002032
512303321030
61251215530
7240442200
oct70660216
931031770
1014901390
1184586a9
124ba75a6
1331197ba
141d9c770
151495360
hexe3608e

14901390 has 144 divisors (see below), whose sum is σ = 46949760. Its totient is φ = 3265920.

The previous prime is 14901379. The next prime is 14901407. The reversal of 14901390 is 9310941.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136656 + ... + 136764.

It is an arithmetic number, because the mean of its divisors is an integer number (326040).

Almost surely, 214901390 is an apocalyptic number.

14901390 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 14901390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23474880).

14901390 is an abundant number, since it is smaller than the sum of its proper divisors (32048370).

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

14901390 is a wasteful number, since it uses less digits than its factorization.

14901390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 14901390 is about 3860.2318583215. The cubic root of 14901390 is about 246.0795895556.

The spelling of 14901390 in words is "fourteen million, nine hundred one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 109 126 147 155 186 210 217 218 245 279 294 310 315 327 434 441 465 490 545 558 630 651 654 735 763 882 930 981 1085 1090 1302 1395 1470 1519 1526 1635 1953 1962 2170 2205 2289 2790 3038 3255 3270 3379 3815 3906 4410 4557 4578 4905 5341 6510 6758 6867 7595 7630 9114 9765 9810 10137 10682 11445 13671 13734 15190 16023 16895 19530 20274 22785 22890 23653 26705 27342 30411 32046 33790 34335 45570 47306 48069 50685 53410 60822 68355 68670 70959 80115 96138 101370 118265 136710 141918 152055 160230 165571 212877 236530 240345 304110 331142 354795 425754 480690 496713 709590 827855 993426 1064385 1490139 1655710 2128770 2483565 2980278 4967130 7450695 14901390