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11397232 = 247112292
BaseRepresentation
bin101011011110…
…100001110000
3210110001001201
4223132201300
510404202412
61044140544
7165606040
oct53364160
923401051
1011397232
116484a00
123997754
132490832
141729720
151001e57
hexade870

11397232 has 90 divisors (see below), whose sum is σ = 28729064. Its totient is φ = 4287360.

The previous prime is 11397227. The next prime is 11397233. The reversal of 11397232 is 23279311.

11397232 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11397232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11397233) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 392994 + ... + 393022.

Almost surely, 211397232 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 11397232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364532).

11397232 is an abundant number, since it is smaller than the sum of its proper divisors (17331832).

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

11397232 is a wasteful number, since it uses less digits than its factorization.

11397232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 11397232 is about 3375.9786729184. The cubic root of 11397232 is about 225.0434944723.

Multiplying 11397232 by its sum of digits (28), we get a square (319122496 = 178642).

11397232 divided by its sum of digits (28) gives a square (407044 = 6382).

Multiplying 11397232 by its product of digits (2268), we get a square (25848922176 = 1607762).

The spelling of 11397232 in words is "eleven million, three hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 121 154 176 203 232 242 308 319 406 464 484 616 638 812 841 847 968 1232 1276 1624 1682 1694 1936 2233 2552 3248 3364 3388 3509 4466 5104 5887 6728 6776 7018 8932 9251 11774 13456 13552 14036 17864 18502 23548 24563 28072 35728 37004 47096 49126 56144 64757 74008 94192 98252 101761 129514 148016 196504 203522 259028 393008 407044 518056 712327 814088 1036112 1424654 1628176 2849308 5698616 11397232