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11097632 = 2571337103
BaseRepresentation
bin101010010101…
…011000100000
3202212211002102
4222111120200
510320111012
61033505532
7163220420
oct52253040
922784072
1011097632
11629a8a7
1238722a8
1323b7360
14168c480
15e932c2
hexa95620

11097632 has 96 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 4230144.

The previous prime is 11097629. The next prime is 11097637. The reversal of 11097632 is 23679011.

It is a junction number, because it is equal to n+sod(n) for n = 11097595 and 11097604.

It is not an unprimeable number, because it can be changed into a prime (11097637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107693 + ... + 107795.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 211097632 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 11097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

11097632 is an abundant number, since it is smaller than the sum of its proper divisors (16787680).

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

11097632 is a wasteful number, since it uses less digits than its factorization.

11097632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 11097632 is about 3331.3108531027. The cubic root of 11097632 is about 223.0540465702.

The spelling of 11097632 in words is "eleven million, ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 103 104 112 148 182 206 208 224 259 296 364 412 416 481 518 592 721 728 824 962 1036 1184 1339 1442 1456 1648 1924 2072 2678 2884 2912 3296 3367 3811 3848 4144 5356 5768 6734 7622 7696 8288 9373 10712 11536 13468 15244 15392 18746 21424 23072 26677 26936 30488 37492 42848 49543 53354 53872 60976 74984 99086 106708 107744 121952 149968 198172 213416 299936 346801 396344 426832 693602 792688 853664 1387204 1585376 2774408 5548816 11097632