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108243072 = 2732731433
BaseRepresentation
bin1100111001110…
…10100010000000
321112200022120200
412130322202000
5210202234242
614424005200
72453023320
oct634724200
9245608520
10108243072
1156111693
1230300800
131956b772
1410539280
15978204c
hex673a880

108243072 has 192 divisors, whose sum is σ = 368309760. Its totient is φ = 29859840.

The previous prime is 108243071. The next prime is 108243089. The reversal of 108243072 is 270342801.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (108243071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249768 + ... + 250200.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2108243072 is an apocalyptic number.

108243072 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 108243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

108243072 is an abundant number, since it is smaller than the sum of its proper divisors (260066688).

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

108243072 is a wasteful number, since it uses less digits than its factorization.

108243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 108243072 is about 10403.9930795825. The cubic root of 108243072 is about 476.5773189558.

Adding to 108243072 its reverse (270342801), we get a palindrome (378585873).

The spelling of 108243072 in words is "one hundred eight million, two hundred forty-three thousand, seventy-two".