Search a number
-
+
11493064 = 2311231383
BaseRepresentation
bin101011110101…
…111011001000
3210121220112001
4223311323020
510420234224
61050200344
7166455322
oct53657310
923556461
1011493064
11653aa00
123a230b4
1324c533b
141752612
151020544
hexaf5ec8

11493064 has 48 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 5042400.

The previous prime is 11493059. The next prime is 11493073. The reversal of 11493064 is 46039411.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29817 + ... + 30199.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 211493064 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 11493064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

11493064 is an abundant number, since it is smaller than the sum of its proper divisors (13021496).

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

11493064 is a wasteful number, since it uses less digits than its factorization.

11493064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 11493064 is about 3390.1421799093. The cubic root of 11493064 is about 225.6724835414.

The spelling of 11493064 in words is "eleven million, four hundred ninety-three thousand, sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 383 484 682 766 968 1364 1532 2728 3064 3751 4213 7502 8426 11873 15004 16852 23746 30008 33704 46343 47492 92686 94984 130603 185372 261206 370744 522412 1044824 1436633 2873266 5746532 11493064