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11283320 = 2352971137
BaseRepresentation
bin101011000010…
…101101111000
3210020020210202
4223002231320
510342031240
61041501332
7164622656
oct53025570
923206722
1011283320
116407364
123941848
132450a29
1416d9dd6
15ecd315
hexac2b78

11283320 has 64 divisors (see below), whose sum is σ = 26827200. Its totient is φ = 4264960.

The previous prime is 11283319. The next prime is 11283343. The reversal of 11283320 is 2338211.

11283320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11283292 and 11283301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82292 + ... + 82428.

It is an arithmetic number, because the mean of its divisors is an integer number (419175).

Almost surely, 211283320 is an apocalyptic number.

11283320 is a gapful number since it is divisible by the number (10) 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 11283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413600).

11283320 is an abundant number, since it is smaller than the sum of its proper divisors (15543880).

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

11283320 is a wasteful number, since it uses less digits than its factorization.

11283320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11283320 is about 3359.0653461938. The cubic root of 11283320 is about 224.2912347061.

The spelling of 11283320 in words is "eleven million, two hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 137 142 145 232 274 284 290 355 548 568 580 685 710 1096 1160 1370 1420 2059 2740 2840 3973 4118 5480 7946 8236 9727 10295 15892 16472 19454 19865 20590 31784 38908 39730 41180 48635 77816 79460 82360 97270 158920 194540 282083 389080 564166 1128332 1410415 2256664 2820830 5641660 11283320