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14646940 = 2257119511
BaseRepresentation
bin110111110111…
…111010011100
31000120010211021
4313313322130
512222200230
61241533524
7235332310
oct67677234
930503737
1014646940
1182a4510
124aa42a4
13305aa39
141d33b40
151444c7a
hexdf7e9c

14646940 has 48 divisors (see below), whose sum is σ = 38352384. Its totient is φ = 4564800.

The previous prime is 14646917. The next prime is 14646941. The reversal of 14646940 is 4964641.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14646896 and 14646905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14646941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216 + ... + 6295.

It is an arithmetic number, because the mean of its divisors is an integer number (799008).

Almost surely, 214646940 is an apocalyptic number.

14646940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14646940 is an abundant number, since it is smaller than the sum of its proper divisors (23705444).

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

14646940 is a wasteful number, since it uses less digits than its factorization.

14646940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 14646940 is about 3827.1320855178. The cubic root of 14646940 is about 244.6708894908.

The spelling of 14646940 in words is "fourteen million, six hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 9511 19022 38044 47555 66577 95110 104621 133154 190220 209242 266308 332885 418484 523105 665770 732347 1046210 1331540 1464694 2092420 2929388 3661735 7323470 14646940