Search a number
-
+
11974248 = 233211131163
BaseRepresentation
bin101101101011…
…011001101000
3211112100120200
4231223121220
511031133443
61104352200
7203531226
oct55533150
924470520
1011974248
116839480
124015660
132633370
141839b16
1510b7dd3
hexb6b668

11974248 has 96 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 3346560.

The previous prime is 11974247. The next prime is 11974279. The reversal of 11974248 is 84247911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11974241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9715 + ... + 10877.

It is an arithmetic number, because the mean of its divisors is an integer number (397215).

Almost surely, 211974248 is an apocalyptic number.

11974248 is a gapful number since it is divisible by the number (18) 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 11974248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

11974248 is an abundant number, since it is smaller than the sum of its proper divisors (26158392).

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

11974248 is a wasteful number, since it uses less digits than its factorization.

11974248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11974248 is about 3460.3826378018. The cubic root of 11974248 is about 228.7789607694.

It can be divided in two parts, 1197 and 4248, that added together give a palindrome (5445).

The spelling of 11974248 in words is "eleven million, nine hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1163 1287 1716 2326 2574 3432 3489 4652 5148 6978 9304 10296 10467 12793 13956 15119 20934 25586 27912 30238 38379 41868 45357 51172 60476 76758 83736 90714 102344 115137 120952 136071 153516 166309 181428 230274 272142 307032 332618 362856 460548 498927 544284 665236 921096 997854 1088568 1330472 1496781 1995708 2993562 3991416 5987124 11974248