Search a number
-
+
11416152 = 2331183521
BaseRepresentation
bin101011100011…
…001001011000
3210111000000110
4223203021120
510410304102
61044404320
7166015146
oct53431130
923430013
1011416152
116498140
1239a66a0
132499327
141732596
15100786c
hexae3258

11416152 has 64 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 3411200.

The previous prime is 11416133. The next prime is 11416177. The reversal of 11416152 is 25161411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21652 + ... + 22172.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 211416152 is an apocalyptic number.

11416152 is a gapful number since it is divisible by the number (12) 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 11416152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

11416152 is an abundant number, since it is smaller than the sum of its proper divisors (20154408).

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

11416152 is a wasteful number, since it uses less digits than its factorization.

11416152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11416152 is about 3378.7796613570. The cubic root of 11416152 is about 225.1679536104.

Adding to 11416152 its reverse (25161411), we get a palindrome (36577563).

The spelling of 11416152 in words is "eleven million, four hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 521 664 913 996 1042 1563 1826 1992 2084 2739 3126 3652 4168 5478 5731 6252 7304 10956 11462 12504 17193 21912 22924 34386 43243 45848 68772 86486 129729 137544 172972 259458 345944 475673 518916 951346 1037832 1427019 1902692 2854038 3805384 5708076 11416152