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11042328 = 23311151277
BaseRepresentation
bin101010000111…
…111000011000
3202210000020010
4222013320120
510311323303
61032401520
7162600243
oct52077030
922700203
1011042328
1162622a0
1238462a0
13239812b
14167625a
15e81c03
hexa87e18

11042328 has 64 divisors (see below), whose sum is σ = 30424320. Its totient is φ = 3312000.

The previous prime is 11042309. The next prime is 11042347. The reversal of 11042328 is 82324011.

It is a Cunningham number, because it is equal to 33232-1.

It is an interprime number because it is at equal distance from previous prime (11042309) and next prime (11042347).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39726 + ... + 40002.

It is an arithmetic number, because the mean of its divisors is an integer number (475380).

Almost surely, 211042328 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 11042328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212160).

11042328 is an abundant number, since it is smaller than the sum of its proper divisors (19381992).

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

11042328 is a wasteful number, since it uses less digits than its factorization.

11042328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11042328 is about 3322.9998495336. Note that the first 3 decimals coincide. The cubic root of 11042328 is about 222.6829064534.

Adding to 11042328 its reverse (82324011), we get a palindrome (93366339).

The spelling of 11042328 in words is "eleven million, forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 277 302 453 554 604 831 906 1108 1208 1661 1662 1812 2216 3047 3322 3324 3624 4983 6094 6644 6648 9141 9966 12188 13288 18282 19932 24376 36564 39864 41827 73128 83654 125481 167308 250962 334616 460097 501924 920194 1003848 1380291 1840388 2760582 3680776 5521164 11042328