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14261968 = 247294391
BaseRepresentation
bin110110011001…
…111011010000
3222211120202001
4312121323100
512122340333
61225403344
7232140040
oct66317320
928746661
1014261968
118061256
124939554
132c54746
141c73720
1513bab7d
hexd99ed0

14261968 has 40 divisors (see below), whose sum is σ = 32676480. Its totient is φ = 5900160.

The previous prime is 14261959. The next prime is 14261969. The reversal of 14261968 is 86916241.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14261969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 5443.

It is an arithmetic number, because the mean of its divisors is an integer number (816912).

Almost surely, 214261968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14261968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240).

14261968 is an abundant number, since it is smaller than the sum of its proper divisors (18414512).

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

14261968 is a wasteful number, since it uses less digits than its factorization.

14261968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4429 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 14261968 is about 3776.5020852636. The cubic root of 14261968 is about 242.5082322638.

The spelling of 14261968 in words is "fourteen million, two hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 4391 8782 17564 30737 35128 61474 70256 122948 127339 245896 254678 491792 509356 891373 1018712 1782746 2037424 3565492 7130984 14261968