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11283792 = 243133107
BaseRepresentation
bin101011000010…
…110101010000
3210020021110020
4223002311100
510342040132
61041503440
7164624232
oct53026520
923207406
1011283792
116407753
123941b80
132451000
1416da252
15ecd52c
hexac2d50

11283792 has 80 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3439488.

The previous prime is 11283763. The next prime is 11283793. The reversal of 11283792 is 29738211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283793) 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, 105403 + ... + 105509.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 211283792 is an apocalyptic number.

11283792 is a gapful number since it is divisible by the number (12) 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 11283792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

11283792 is an abundant number, since it is smaller than the sum of its proper divisors (20589168).

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

11283792 is a wasteful number, since it uses less digits than its factorization.

11283792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 11283792 is about 3359.1356030979. The cubic root of 11283792 is about 224.2943621540.

The spelling of 11283792 in words is "eleven million, two hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 169 208 214 312 321 338 428 507 624 642 676 856 1014 1284 1352 1391 1712 2028 2197 2568 2704 2782 4056 4173 4394 5136 5564 6591 8112 8346 8788 11128 13182 16692 17576 18083 22256 26364 33384 35152 36166 52728 54249 66768 72332 105456 108498 144664 216996 235079 289328 433992 470158 705237 867984 940316 1410474 1880632 2820948 3761264 5641896 11283792