Search a number
-
+
11403216 = 24321123313
BaseRepresentation
bin101011011111…
…111111010000
3210110100021100
4223133333100
510404400331
61044224400
7165632346
oct53377720
923410240
1011403216
116489450
12399b100
132493486
14172b996
151003ae6
hexadffd0

11403216 has 120 divisors (see below), whose sum is σ = 36444096. Its totient is φ = 3294720.

The previous prime is 11403151. The next prime is 11403221. The reversal of 11403216 is 61230411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36276 + ... + 36588.

Almost surely, 211403216 is an apocalyptic number.

11403216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222048).

11403216 is an abundant number, since it is smaller than the sum of its proper divisors (25040880).

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

11403216 is a wasteful number, since it uses less digits than its factorization.

11403216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11403216 is about 3376.8648181412. The cubic root of 11403216 is about 225.0828731757.

Adding to 11403216 its reverse (61230411), we get a palindrome (72633627).

It can be divided in two parts, 1140 and 3216, that added together give a square (4356 = 662).

The spelling of 11403216 in words is "eleven million, four hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 313 368 396 414 506 528 552 626 759 792 828 939 1012 1104 1252 1518 1584 1656 1878 2024 2277 2504 2817 3036 3312 3443 3756 4048 4554 5008 5634 6072 6886 7199 7512 9108 10329 11268 12144 13772 14398 15024 18216 20658 21597 22536 27544 28796 30987 36432 41316 43194 45072 55088 57592 61974 64791 79189 82632 86388 115184 123948 129582 158378 165264 172776 237567 247896 259164 316756 345552 475134 495792 518328 633512 712701 950268 1036656 1267024 1425402 1900536 2850804 3801072 5701608 11403216