Search a number
-
+
11836152 = 2333371481
BaseRepresentation
bin101101001001…
…101011111000
3211021100011000
4231021223320
511012224102
61101405000
7202414506
oct55115370
924240130
1011836152
116754749
123b69760
1325b5553
141801676
15108c01c
hexb49af8

11836152 has 64 divisors (see below), whose sum is σ = 33789600. Its totient is φ = 3836160.

The previous prime is 11836129. The next prime is 11836157. The reversal of 11836152 is 25163811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11836157) 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 15 ways as a sum of consecutive naturals, for example, 7252 + ... + 8732.

Almost surely, 211836152 is an apocalyptic number.

11836152 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 11836152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894800).

11836152 is an abundant number, since it is smaller than the sum of its proper divisors (21953448).

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

11836152 is a wasteful number, since it uses less digits than its factorization.

11836152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11836152 is about 3440.3709102363. The cubic root of 11836152 is about 227.8960745202.

Adding to 11836152 its reverse (25163811), we get a palindrome (36999963).

The spelling of 11836152 in words is "eleven million, eight hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1481 1998 2664 2962 3996 4443 5924 7992 8886 11848 13329 17772 26658 35544 39987 53316 54797 79974 106632 109594 159948 164391 219188 319896 328782 438376 493173 657564 986346 1315128 1479519 1972692 2959038 3945384 5918076 11836152