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11355032 = 2313412663
BaseRepresentation
bin101011010100…
…001110011000
3210100220011202
4223110032120
510401330112
61043213332
7165342023
oct53241630
923326152
1011355032
116456227
123977248
132477570
1417181ba
15ee46c2
hexad4398

11355032 has 32 divisors (see below), whose sum is σ = 23496480. Its totient is φ = 5111040.

The previous prime is 11355023. The next prime is 11355107. The reversal of 11355032 is 23055311.

It is a junction number, because it is equal to n+sod(n) for n = 11354995 and 11355013.

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 7 ways as a sum of consecutive naturals, for example, 2933 + ... + 5595.

It is an arithmetic number, because the mean of its divisors is an integer number (734265).

Almost surely, 211355032 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 11355032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748240).

11355032 is an abundant number, since it is smaller than the sum of its proper divisors (12141448).

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

11355032 is a wasteful number, since it uses less digits than its factorization.

11355032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 11355032 is about 3369.7228372672. The cubic root of 11355032 is about 224.7653982702.

The spelling of 11355032 in words is "eleven million, three hundred fifty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 2663 4264 5326 10652 21304 34619 69238 109183 138476 218366 276952 436732 873464 1419379 2838758 5677516 11355032