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108814384 = 2477313309
BaseRepresentation
bin1100111110001…
…10000000110000
321120202100021101
412133012000300
5210324030014
614444134144
72460623050
oct637060060
9246670241
10108814384
1156471948
1230537354
131970b813
1410647560
159846474
hex67c6030

108814384 has 40 divisors (see below), whose sum is σ = 244265120. Its totient is φ = 45992448.

The previous prime is 108814379. The next prime is 108814393. The reversal of 108814384 is 483418801.

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 14830.

It is an arithmetic number, because the mean of its divisors is an integer number (6106628).

Almost surely, 2108814384 is an apocalyptic number.

108814384 is a gapful number since it is divisible by the number (14) 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 108814384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122132560).

108814384 is an abundant number, since it is smaller than the sum of its proper divisors (135450736).

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

108814384 is a wasteful number, since it uses less digits than its factorization.

108814384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 108814384 is about 10431.4133270617. The cubic root of 108814384 is about 477.4143139103.

The spelling of 108814384 in words is "one hundred eight million, eight hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 13309 26618 53236 93163 106472 186326 212944 372652 745304 971557 1490608 1943114 3886228 6800899 7772456 13601798 15544912 27203596 54407192 108814384