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11397024 = 25344397
BaseRepresentation
bin101011011110…
…011110100000
3210110000210000
4223132132200
510404201044
61044140000
7165605322
oct53363640
923400700
1011397024
116484831
123997600
132490702
141729612
151001d69
hexade7a0

11397024 has 60 divisors (see below), whose sum is σ = 33525954. Its totient is φ = 3798144.

The previous prime is 11397013. The next prime is 11397031. The reversal of 11397024 is 42079311.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 1587600 = 3132^2 + 1260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 394 + ... + 4790.

Almost surely, 211397024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11397024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762977).

11397024 is an abundant number, since it is smaller than the sum of its proper divisors (22128930).

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

11397024 is an equidigital number, since it uses as much as digits as its factorization.

11397024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11397024 is about 3375.9478668961. The cubic root of 11397024 is about 225.0421254459.

The spelling of 11397024 in words is "eleven million, three hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4397 8794 13191 17588 26382 35176 39573 52764 70352 79146 105528 118719 140704 158292 211056 237438 316584 356157 422112 474876 633168 712314 949752 1266336 1424628 1899504 2849256 3799008 5698512 11397024