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11321424 = 243373359
BaseRepresentation
bin101011001100…
…000001010000
3210022012002000
4223030001100
510344241144
61042354000
7165142032
oct53140120
923265060
1011321424
116432a54
12395b900
13246518a
141709c52
15ed9769
hexacc050

11321424 has 80 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 3711744.

The previous prime is 11321399. The next prime is 11321437. The reversal of 11321424 is 42412311.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 11321397 and 11321406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31357 + ... + 31715.

It is an arithmetic number, because the mean of its divisors is an integer number (412920).

Almost surely, 211321424 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 11321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516800).

11321424 is an abundant number, since it is smaller than the sum of its proper divisors (21712176).

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

11321424 is a wasteful number, since it uses less digits than its factorization.

11321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11321424 is about 3364.7323816316. The cubic root of 11321424 is about 224.5434297092.

Adding to 11321424 its reverse (42412311), we get a palindrome (53733735).

It can be divided in two parts, 1132 and 1424, that added together give a triangular number (2556 = T71).

The spelling of 11321424 in words is "eleven million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 359 432 438 584 657 718 876 1077 1168 1314 1436 1752 1971 2154 2628 2872 3231 3504 3942 4308 5256 5744 6462 7884 8616 9693 10512 12924 15768 17232 19386 25848 26207 31536 38772 51696 52414 77544 78621 104828 155088 157242 209656 235863 314484 419312 471726 628968 707589 943452 1257936 1415178 1886904 2830356 3773808 5660712 11321424