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11689088 = 27294767
BaseRepresentation
bin101100100101…
…110010000000
3210222212102012
4230211302000
510443022323
61054312052
7201232655
oct54456200
923885365
1011689088
116664204
123ab8628
132563628
1417a3c2c
15105d678
hexb25c80

11689088 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 5440512.

The previous prime is 11689087. The next prime is 11689099. The reversal of 11689088 is 88098611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11689087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174431 + ... + 174497.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 211689088 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 11689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

11689088 is an abundant number, since it is smaller than the sum of its proper divisors (13280512).

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

11689088 is an equidigital number, since it uses as much as digits as its factorization.

11689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 11689088 is about 3418.9308270277. The cubic root of 11689088 is about 226.9482697625.

The spelling of 11689088 in words is "eleven million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 32 47 58 64 67 94 116 128 134 188 232 268 376 464 536 752 928 1072 1363 1504 1856 1943 2144 2726 3008 3149 3712 3886 4288 5452 6016 6298 7772 8576 10904 12596 15544 21808 25192 31088 43616 50384 62176 87232 91321 100768 124352 174464 182642 201536 248704 365284 403072 730568 1461136 2922272 5844544 11689088