Search a number
-
+
14332890 = 23511132257
BaseRepresentation
bin110110101011…
…001111011010
3222222012000210
4312223033122
512132123030
61231111550
7232553565
oct66531732
928865023
1014332890
1180aa570
1249725b6
132c7ab00
141c914dc
1513d1bb0
hexdab3da

14332890 has 96 divisors (see below), whose sum is σ = 40792896. Its totient is φ = 3194880.

The previous prime is 14332883. The next prime is 14332907. The reversal of 14332890 is 9823341.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55642 + ... + 55898.

It is an arithmetic number, because the mean of its divisors is an integer number (424926).

Almost surely, 214332890 is an apocalyptic number.

14332890 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 14332890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396448).

14332890 is an abundant number, since it is smaller than the sum of its proper divisors (26460006).

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

14332890 is a wasteful number, since it uses less digits than its factorization.

14332890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14332890 is about 3785.8803467622. The cubic root of 14332890 is about 242.9095499028.

It can be divided in two parts, 143 and 32890, that added together give a palindrome (33033).

The spelling of 14332890 in words is "fourteen million, three hundred thirty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 257 286 330 338 390 429 507 514 715 771 845 858 1014 1285 1430 1542 1690 1859 2145 2535 2570 2827 3341 3718 3855 4290 5070 5577 5654 6682 7710 8481 9295 10023 11154 14135 16705 16962 18590 20046 27885 28270 33410 36751 42405 43433 50115 55770 73502 84810 86866 100230 110253 130299 183755 217165 220506 260598 367510 434330 477763 551265 651495 955526 1102530 1302990 1433289 2388815 2866578 4777630 7166445 14332890