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11369088 = 273271139
BaseRepresentation
bin101011010111…
…101010000000
3210101121110100
4223113222000
510402302323
61043402400
7165431013
oct53275200
923347410
1011369088
116465845
123983400
132480a93
14171d37a
15ee8943
hexad7a80

11369088 has 96 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3709440.

The previous prime is 11369081. The next prime is 11369089. The reversal of 11369088 is 88096311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11369081) 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 11 ways as a sum of consecutive naturals, for example, 81723 + ... + 81861.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 211369088 is an apocalyptic number.

11369088 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 11369088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11369088 is an abundant number, since it is smaller than the sum of its proper divisors (22046112).

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

11369088 is a wasteful number, since it uses less digits than its factorization.

11369088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11369088 is about 3371.8078237053. The cubic root of 11369088 is about 224.8581031237.

The spelling of 11369088 in words is "eleven million, three hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 139 142 144 192 213 278 284 288 384 417 426 556 568 576 639 834 852 1112 1136 1152 1251 1278 1668 1704 2224 2272 2502 2556 3336 3408 4448 4544 5004 5112 6672 6816 8896 9088 9869 10008 10224 13344 13632 17792 19738 20016 20448 26688 27264 29607 39476 40032 40896 53376 59214 78952 80064 81792 88821 118428 157904 160128 177642 236856 315808 355284 473712 631616 710568 947424 1263232 1421136 1894848 2842272 3789696 5684544 11369088