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14265240 = 233511101107
BaseRepresentation
bin110110011010…
…101110011000
3222211202020020
4312122232120
512122441430
61225430440
7232152423
oct66325630
928752206
1014265240
118063760
12493b420
132c56092
141c749ba
1513bbb10
hexd9ab98

14265240 has 128 divisors (see below), whose sum is σ = 47589120. Its totient is φ = 3392000.

The previous prime is 14265211. The next prime is 14265263. The reversal of 14265240 is 4256241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14265240.

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 31 ways as a sum of consecutive naturals, for example, 133267 + ... + 133373.

It is an arithmetic number, because the mean of its divisors is an integer number (371790).

Almost surely, 214265240 is an apocalyptic number.

14265240 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 14265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794560).

14265240 is an abundant number, since it is smaller than the sum of its proper divisors (33323880).

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

14265240 is a wasteful number, since it uses less digits than its factorization.

14265240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14265240 is about 3776.9352655294. The cubic root of 14265240 is about 242.5267763681.

It can be divided in two parts, 1426 and 5240, that added together give a palindrome (6666).

The spelling of 14265240 in words is "fourteen million, two hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 107 110 120 132 165 202 214 220 264 303 321 330 404 428 440 505 535 606 642 660 808 856 1010 1070 1111 1177 1212 1284 1320 1515 1605 2020 2140 2222 2354 2424 2568 3030 3210 3333 3531 4040 4280 4444 4708 5555 5885 6060 6420 6666 7062 8888 9416 10807 11110 11770 12120 12840 13332 14124 16665 17655 21614 22220 23540 26664 28248 32421 33330 35310 43228 44440 47080 54035 64842 66660 70620 86456 108070 118877 129684 133320 141240 162105 216140 237754 259368 324210 356631 432280 475508 594385 648420 713262 951016 1188770 1296840 1426524 1783155 2377540 2853048 3566310 4755080 7132620 14265240