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14668192 = 257115953
BaseRepresentation
bin110111111101…
…000110100000
31000121012222101
4313331012200
512223340232
61242220144
7235451260
oct67750640
930535871
1014668192
118309480
124ab4654
133067606
141d3b7a0
15144b1e7
hexdfd1a0

14668192 has 48 divisors (see below), whose sum is σ = 36009792. Its totient is φ = 5713920.

The previous prime is 14668187. The next prime is 14668211. The reversal of 14668192 is 29186641.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 513 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (750204).

Almost surely, 214668192 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 14668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896).

14668192 is an abundant number, since it is smaller than the sum of its proper divisors (21341600).

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

14668192 is a wasteful number, since it uses less digits than its factorization.

14668192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5973 counting only the distinct ones).

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

The square root of 14668192 is about 3829.9075706863. The cubic root of 14668192 is about 244.7891675045.

The spelling of 14668192 in words is "fourteen million, six hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5953 11906 23812 41671 47624 65483 83342 95248 130966 166684 190496 261932 333368 458381 523864 666736 916762 1047728 1333472 1833524 2095456 3667048 7334096 14668192