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11302320 = 243547093
BaseRepresentation
bin101011000111…
…010110110000
3210021012212110
4223013112300
510343133240
61042125320
7165032241
oct53072660
923235773
1011302320
11641a667
123950840
132459583
141702cc8
15ed3c80
hexac75b0

11302320 has 40 divisors (see below), whose sum is σ = 35037936. Its totient is φ = 3013888.

The previous prime is 11302307. The next prime is 11302327. The reversal of 11302320 is 2320311.

It is a happy number.

11302320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11302296 and 11302305.

It is not an unprimeable number, because it can be changed into a prime (11302327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23307 + ... + 23786.

Almost surely, 211302320 is an apocalyptic number.

11302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11302320 is an abundant number, since it is smaller than the sum of its proper divisors (23735616).

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

11302320 is a wasteful number, since it uses less digits than its factorization.

11302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47109 (or 47103 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11302320 is about 3361.8923242722. The cubic root of 11302320 is about 224.4170588930.

Adding to 11302320 its reverse (2320311), we get a palindrome (13622631).

Subtracting from 11302320 its reverse (2320311), we obtain a square (8982009 = 29972).

The spelling of 11302320 in words is "eleven million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 47093 94186 141279 188372 235465 282558 376744 470930 565116 706395 753488 941860 1130232 1412790 1883720 2260464 2825580 3767440 5651160 11302320