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11297792 = 210111759
BaseRepresentation
bin101011000110…
…010000000000
3210020222122202
4223012100000
510343012132
61042052332
7165013112
oct53062000
923228582
1011297792
116417220
12394a0a8
1324574ac
1417013b2
15ed2762
hexac6400

11297792 has 88 divisors (see below), whose sum is σ = 26529120. Its totient is φ = 4751360.

The previous prime is 11297789. The next prime is 11297801. The reversal of 11297792 is 29779211.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191459 + ... + 191517.

Almost surely, 211297792 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 11297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264560).

11297792 is an abundant number, since it is smaller than the sum of its proper divisors (15231328).

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

11297792 is a wasteful number, since it uses less digits than its factorization.

11297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 15876, while the sum is 38.

The square root of 11297792 is about 3361.2188265568. The cubic root of 11297792 is about 224.3870858086.

The spelling of 11297792 in words is "eleven million, two hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 59 64 68 88 118 128 136 176 187 236 256 272 352 374 472 512 544 649 704 748 944 1003 1024 1088 1298 1408 1496 1888 2006 2176 2596 2816 2992 3776 4012 4352 5192 5632 5984 7552 8024 8704 10384 11033 11264 11968 15104 16048 17408 20768 22066 23936 30208 32096 41536 44132 47872 60416 64192 83072 88264 95744 128384 166144 176528 191488 256768 332288 353056 513536 664576 706112 1027072 1412224 2824448 5648896 11297792