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14580390 = 235111723113
BaseRepresentation
bin110111100111…
…101010100110
31000102202112110
4313213222212
512213033030
61240301450
7234634266
oct67475246
930382473
1014580390
118259510
124a71886
133036666
141d177a6
1514301b0
hexde7aa6

14580390 has 128 divisors (see below), whose sum is σ = 42550272. Its totient is φ = 3153920.

The previous prime is 14580389. The next prime is 14580421. The reversal of 14580390 is 9308541.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128974 + ... + 129086.

It is an arithmetic number, because the mean of its divisors is an integer number (332424).

Almost surely, 214580390 is an apocalyptic number.

14580390 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 14580390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275136).

14580390 is an abundant number, since it is smaller than the sum of its proper divisors (27969882).

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

14580390 is a wasteful number, since it uses less digits than its factorization.

14580390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 14580390 is about 3818.4276868889. The cubic root of 14580390 is about 244.2997637105.

The spelling of 14580390 in words is "fourteen million, five hundred eighty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 113 115 138 165 170 187 226 230 253 255 330 339 345 374 391 506 510 561 565 678 690 759 782 935 1122 1130 1173 1243 1265 1518 1695 1870 1921 1955 2346 2486 2530 2599 2805 3390 3729 3795 3842 3910 4301 5198 5610 5763 5865 6215 7458 7590 7797 8602 9605 11526 11730 12430 12903 12995 15594 18645 19210 21131 21505 25806 25990 28589 28815 37290 38985 42262 43010 44183 57178 57630 63393 64515 77970 85767 88366 105655 126786 129030 132549 142945 171534 211310 220915 265098 285890 316965 428835 441830 486013 633930 662745 857670 972026 1325490 1458039 2430065 2916078 4860130 7290195 14580390