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11693472 = 253717401
BaseRepresentation
bin101100100110…
…110110100000
3211000002102120
4230212312200
510443142342
61054344240
7201251520
oct54466640
924002376
1011693472
11666752a
123abb080
13256561b
1417a5680
15105eaec
hexb26da0

11693472 has 48 divisors (see below), whose sum is σ = 35082432. Its totient is φ = 3340800.

The previous prime is 11693471. The next prime is 11693483. The reversal of 11693472 is 27439611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11693471) 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 7 ways as a sum of consecutive naturals, for example, 8029 + ... + 9372.

It is an arithmetic number, because the mean of its divisors is an integer number (730884).

Almost surely, 211693472 is an apocalyptic number.

11693472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11693472 is an abundant number, since it is smaller than the sum of its proper divisors (23388960).

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

11693472 is a wasteful number, since it uses less digits than its factorization.

11693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421 (or 17413 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 11693472 is about 3419.5719030311. The cubic root of 11693472 is about 226.9766385812.

The spelling of 11693472 in words is "eleven million, six hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 17401 34802 52203 69604 104406 121807 139208 208812 243614 278416 365421 417624 487228 556832 730842 835248 974456 1461684 1670496 1948912 2923368 3897824 5846736 11693472