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108731232 = 25322231693
BaseRepresentation
bin1100111101100…
…01101101100000
321120121010012200
412132301231200
5210313344412
614442253200
72460125451
oct636615540
9246533180
10108731232
1156415425
12304b7200
13196aca0c
1410625128
15982b9dc
hex67b1b60

108731232 has 72 divisors (see below), whose sum is σ = 310774464. Its totient is φ = 36059904.

The previous prime is 108731191. The next prime is 108731239. The reversal of 108731232 is 232137801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 108731196 and 108731205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108731239) 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, 63378 + ... + 65070.

It is an arithmetic number, because the mean of its divisors is an integer number (4316312).

Almost surely, 2108731232 is an apocalyptic number.

108731232 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 108731232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387232).

108731232 is an abundant number, since it is smaller than the sum of its proper divisors (202043232).

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

108731232 is a wasteful number, since it uses less digits than its factorization.

108731232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108731232 is about 10427.4269117554. The cubic root of 108731232 is about 477.2926753617.

The spelling of 108731232 in words is "one hundred eight million, seven hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1693 1784 2007 2676 3386 3568 4014 5079 5352 6772 7136 8028 10158 10704 13544 15237 16056 20316 21408 27088 30474 32112 40632 54176 60948 64224 81264 121896 162528 243792 377539 487584 755078 1132617 1510156 2265234 3020312 3397851 4530468 6040624 6795702 9060936 12081248 13591404 18121872 27182808 36243744 54365616 108731232