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14719968 = 2536631
BaseRepresentation
bin111000001001…
…101111100000
31000200212000000
4320021233200
512232014333
61243300000
7236055234
oct70115740
930625000
1014719968
11834436a
124b1a600
133085053
141d525c4
15145b713
hexe09be0

14719968 has 84 divisors (see below), whose sum is σ = 43518888. Its totient is φ = 4898880.

The previous prime is 14719963. The next prime is 14719973. The reversal of 14719968 is 86991741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14719963) and next prime (14719973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14719963) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 23013 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (518082).

Almost surely, 214719968 is an apocalyptic number.

14719968 is a gapful number since it is divisible by the number (18) 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 14719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759444).

14719968 is an abundant number, since it is smaller than the sum of its proper divisors (28798920).

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

14719968 is an frugal number, since it uses more digits than its factorization.

14719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 14719968 is about 3836.6610483596. The cubic root of 14719968 is about 245.0768494170.

The spelling of 14719968 in words is "fourteen million, seven hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 631 648 729 864 972 1262 1296 1458 1893 1944 2524 2592 2916 3786 3888 5048 5679 5832 7572 7776 10096 11358 11664 15144 17037 20192 22716 23328 30288 34074 45432 51111 60576 68148 90864 102222 136296 153333 181728 204444 272592 306666 408888 459999 545184 613332 817776 919998 1226664 1635552 1839996 2453328 3679992 4906656 7359984 14719968