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11207328 = 2531110613
BaseRepresentation
bin101010110000…
…001010100000
3210002101120020
4222300022200
510332113303
61040113440
7164155266
oct52601240
923071506
1011207328
116365260
123905880
132425272
1416ba436
15eb5a53
hexab02a0

11207328 has 48 divisors (see below), whose sum is σ = 32096736. Its totient is φ = 3395840.

The previous prime is 11207323. The next prime is 11207341. The reversal of 11207328 is 82370211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11207298 and 11207307.

It is not an unprimeable number, because it can be changed into a prime (11207323) 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, 4251 + ... + 6362.

It is an arithmetic number, because the mean of its divisors is an integer number (668682).

Almost surely, 211207328 is an apocalyptic number.

It is an amenable number.

11207328 is an abundant number, since it is smaller than the sum of its proper divisors (20889408).

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

11207328 is a wasteful number, since it uses less digits than its factorization.

11207328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11207328 is about 3347.7347565182. The cubic root of 11207328 is about 223.7865739242.

Adding to 11207328 its reverse (82370211), we get a palindrome (93577539).

It can be divided in two parts, 112073 and 28, that added together give a triangular number (112101 = T473).

The spelling of 11207328 in words is "eleven million, two hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10613 21226 31839 42452 63678 84904 116743 127356 169808 233486 254712 339616 350229 466972 509424 700458 933944 1018848 1400916 1867888 2801832 3735776 5603664 11207328