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14639768 = 23111367191
BaseRepresentation
bin110111110110…
…001010011000
31000112202222122
4313312022120
512221433033
61241440412
7235302353
oct67661230
930482878
1014639768
11829a090
124aa0108
1330576b0
141d3129a
151442a98
hexdf6298

14639768 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 6019200.

The previous prime is 14639749. The next prime is 14639773. The reversal of 14639768 is 86793641.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (217728) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76553 + ... + 76743.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 214639768 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 14639768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

14639768 is an abundant number, since it is smaller than the sum of its proper divisors (18261352).

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

14639768 is a wasteful number, since it uses less digits than its factorization.

14639768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 14639768 is about 3826.1949767360. The cubic root of 14639768 is about 244.6309479032.

The spelling of 14639768 in words is "fourteen million, six hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 191 268 286 382 536 572 737 764 871 1144 1474 1528 1742 2101 2483 2948 3484 4202 4966 5896 6968 8404 9581 9932 12797 16808 19162 19864 25594 27313 38324 51188 54626 76648 102376 109252 140767 166361 218504 281534 332722 563068 665444 1126136 1330888 1829971 3659942 7319884 14639768