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11020320 = 253352551
BaseRepresentation
bin101010000010…
…100000100000
3202201220001000
4222002200200
510310122240
61032112000
7162446133
oct52024040
922656030
1011020320
116247803
123835600
13238b0cc
14166c21a
15e7a430
hexa82820

11020320 has 96 divisors (see below), whose sum is σ = 38586240. Its totient is φ = 2937600.

The previous prime is 11020313. The next prime is 11020327. The reversal of 11020320 is 2302011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11020313) and next prime (11020327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11020327) 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, 3045 + ... + 5595.

It is an arithmetic number, because the mean of its divisors is an integer number (401940).

Almost surely, 211020320 is an apocalyptic number.

11020320 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 11020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293120).

11020320 is an abundant number, since it is smaller than the sum of its proper divisors (27565920).

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

11020320 is a wasteful number, since it uses less digits than its factorization.

11020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11020320 is about 3319.6867322083. The cubic root of 11020320 is about 222.5348680784.

Adding to 11020320 its reverse (2302011), we get a palindrome (13322331).

The spelling of 11020320 in words is "eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 2551 4320 5102 7653 10204 12755 15306 20408 22959 25510 30612 38265 40816 45918 51020 61224 68877 76530 81632 91836 102040 114795 122448 137754 153060 183672 204080 229590 244896 275508 306120 344385 367344 408160 459180 551016 612240 688770 734688 918360 1102032 1224480 1377540 1836720 2204064 2755080 3673440 5510160 11020320