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14300040 = 2335269443
BaseRepresentation
bin110110100011…
…001110001000
3222220111222010
4312203032020
512130100130
61230255520
7232356036
oct66431610
928814863
1014300040
118087917
1249575a0
132c68b81
141c83556
1513c70b0
hexda3388

14300040 has 64 divisors (see below), whose sum is σ = 43156800. Its totient is φ = 3790592.

The previous prime is 14300023. The next prime is 14300059. The reversal of 14300040 is 4000341.

It is a super-2 number, since 2×143000402 = 408982288003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14299989 and 14300025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32059 + ... + 32501.

It is an arithmetic number, because the mean of its divisors is an integer number (674325).

Almost surely, 214300040 is an apocalyptic number.

14300040 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 14300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578400).

14300040 is an abundant number, since it is smaller than the sum of its proper divisors (28856760).

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

14300040 is a wasteful number, since it uses less digits than its factorization.

14300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14300040 is about 3781.5393690930. The cubic root of 14300040 is about 242.7238306072.

Adding to 14300040 its reverse (4000341), we get a palindrome (18300381).

The spelling of 14300040 in words is "fourteen million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 443 538 807 886 1076 1329 1345 1614 1772 2152 2215 2658 2690 3228 3544 4035 4430 5316 5380 6456 6645 8070 8860 10632 10760 13290 16140 17720 26580 32280 53160 119167 238334 357501 476668 595835 715002 953336 1191670 1430004 1787505 2383340 2860008 3575010 4766680 7150020 14300040