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11493144 = 2333134093
BaseRepresentation
bin101011110101…
…111100011000
3210121220122000
4223311330120
510420240034
61050201000
7166455465
oct53657430
923556560
1011493144
11653aa73
123a23160
1324c53a0
14175266c
151020599
hexaf5f18

11493144 has 64 divisors (see below), whose sum is σ = 34389600. Its totient is φ = 3535488.

The previous prime is 11493133. The next prime is 11493149. The reversal of 11493144 is 44139411.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11493149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 4854.

Almost surely, 211493144 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 11493144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194800).

11493144 is an abundant number, since it is smaller than the sum of its proper divisors (22896456).

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

11493144 is a wasteful number, since it uses less digits than its factorization.

11493144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4111 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11493144 is about 3390.1539788039. The cubic root of 11493144 is about 225.6730071545.

The spelling of 11493144 in words is "eleven million, four hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4093 8186 12279 16372 24558 32744 36837 49116 53209 73674 98232 106418 110511 147348 159627 212836 221022 294696 319254 425672 442044 478881 638508 884088 957762 1277016 1436643 1915524 2873286 3831048 5746572 11493144