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14669820 = 223251131239
BaseRepresentation
bin110111111101…
…011111111100
31000121022012200
4313331133330
512223413240
61242231500
7235456104
oct67753774
930538180
1014669820
11830a720
124ab5590
133068289
141d3c204
15144b930
hexdfd7fc

14669820 has 144 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 3427200.

The previous prime is 14669803. The next prime is 14669821. The reversal of 14669820 is 2896641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14669821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61261 + ... + 61499.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 214669820 is an apocalyptic number.

14669820 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 14669820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14669820 is an abundant number, since it is smaller than the sum of its proper divisors (35649540).

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

14669820 is a wasteful number, since it uses less digits than its factorization.

14669820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14669820 is about 3830.1201025555. The cubic root of 14669820 is about 244.7982234268.

The spelling of 14669820 in words is "fourteen million, six hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 239 279 310 330 341 372 396 465 478 495 558 620 660 682 717 930 956 990 1023 1116 1195 1364 1395 1434 1705 1860 1980 2046 2151 2390 2629 2790 2868 3069 3410 3585 4092 4302 4780 5115 5258 5580 6138 6820 7170 7409 7887 8604 10230 10516 10755 12276 13145 14340 14818 15345 15774 20460 21510 22227 23661 26290 29636 30690 31548 37045 39435 43020 44454 47322 52580 61380 66681 74090 78870 81499 88908 94644 111135 118305 133362 148180 157740 162998 222270 236610 244497 266724 325996 333405 407495 444540 473220 488994 666810 733491 814990 977988 1222485 1333620 1466982 1629980 2444970 2933964 3667455 4889940 7334910 14669820