Search a number
-
+
14538780 = 2232537259
BaseRepresentation
bin110111011101…
…100000011100
31000100122110100
4313131200130
512210220110
61235341100
7234402054
oct67354034
930318410
1014538780
118230223
124a51790
133020739
141d06564
151422bc0
hexddd81c

14538780 has 108 divisors (see below), whose sum is σ = 46093320. Its totient is φ = 3708288.

The previous prime is 14538779. The next prime is 14538793. The reversal of 14538780 is 8783541.

It is a super-2 number, since 2×145387802 = 422752247776800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246391 + ... + 246449.

It is an arithmetic number, because the mean of its divisors is an integer number (426790).

Almost surely, 214538780 is an apocalyptic number.

14538780 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 14538780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046660).

14538780 is an abundant number, since it is smaller than the sum of its proper divisors (31554540).

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

14538780 is a wasteful number, since it uses less digits than its factorization.

14538780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 14538780 is about 3812.9752162845. The cubic root of 14538780 is about 244.0671453657.

The spelling of 14538780 in words is "fourteen million, five hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 59 60 74 90 111 118 148 177 180 185 222 236 295 333 354 370 444 531 555 590 666 708 740 885 1062 1110 1180 1332 1369 1665 1770 2124 2183 2220 2655 2738 3330 3540 4107 4366 5310 5476 6549 6660 6845 8214 8732 10620 10915 12321 13098 13690 16428 19647 20535 21830 24642 26196 27380 32745 39294 41070 43660 49284 61605 65490 78588 80771 82140 98235 123210 130980 161542 196470 242313 246420 323084 392940 403855 484626 726939 807710 969252 1211565 1453878 1615420 2423130 2907756 3634695 4846260 7269390 14538780