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12331152 = 2432194507
BaseRepresentation
bin101111000010…
…100010010000
3212012111011100
4233002202100
511124044102
61120144400
7206545611
oct57024220
925174140
1012331152
116a62639
124168100
132729952
1418cdc08
151138a1c
hexbc2890

12331152 has 60 divisors (see below), whose sum is σ = 36334480. Its totient is φ = 3893184.

The previous prime is 12331147. The next prime is 12331157. The reversal of 12331152 is 25113321.

It is an interprime number because it is at equal distance from previous prime (12331147) and next prime (12331157).

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

It is not an unprimeable number, because it can be changed into a prime (12331157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483 + ... + 4989.

Almost surely, 212331152 is an apocalyptic number.

12331152 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 12331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167240).

12331152 is an abundant number, since it is smaller than the sum of its proper divisors (24003328).

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

12331152 is a wasteful number, since it uses less digits than its factorization.

12331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4531 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12331152 is about 3511.5740060548. The cubic root of 12331152 is about 231.0297369937.

Adding to 12331152 its reverse (25113321), we get a palindrome (37444473).

The spelling of 12331152 in words is "twelve million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4507 9014 13521 18028 27042 36056 40563 54084 72112 81126 85633 108168 162252 171266 216336 256899 324504 342532 513798 649008 685064 770697 1027596 1370128 1541394 2055192 3082788 4110384 6165576 12331152