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14330640 = 243529271
BaseRepresentation
bin110110101010…
…101100010000
3222222001221110
4312222230100
512132040030
61231053320
7232544202
oct66525420
928861843
1014330640
1180a8905
124971240
132c79a8c
141c90772
1513d11b0
hexdaab10

14330640 has 120 divisors (see below), whose sum is σ = 46657728. Its totient is φ = 3637760.

The previous prime is 14330639. The next prime is 14330681. The reversal of 14330640 is 4603341.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 201805 + ... + 201875.

Almost surely, 214330640 is an apocalyptic number.

14330640 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 14330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328864).

14330640 is an abundant number, since it is smaller than the sum of its proper divisors (32327088).

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

14330640 is a wasteful number, since it uses less digits than its factorization.

14330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 14330640 is about 3785.5831783227. The cubic root of 14330640 is about 242.8968384610.

Adding to 14330640 its reverse (4603341), we get a palindrome (18933981).

The spelling of 14330640 in words is "fourteen million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 71 80 87 116 120 142 145 174 213 232 240 284 290 348 355 426 435 464 568 580 696 710 841 852 870 1065 1136 1160 1392 1420 1682 1704 1740 2059 2130 2320 2523 2840 3364 3408 3480 4118 4205 4260 5046 5680 6177 6728 6960 8236 8410 8520 10092 10295 12354 12615 13456 16472 16820 17040 20184 20590 24708 25230 30885 32944 33640 40368 41180 49416 50460 59711 61770 67280 82360 98832 100920 119422 123540 164720 179133 201840 238844 247080 298555 358266 477688 494160 597110 716532 895665 955376 1194220 1433064 1791330 2388440 2866128 3582660 4776880 7165320 14330640