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108673056 = 2533731723
BaseRepresentation
bin1100111101000…
…11100000100000
321120111011102000
412132203200200
5210310014211
614441124000
72456464032
oct636434040
9246434360
10108673056
1156385748
1230489600
131968c3ab
141060bc52
159819656
hex67a3820

108673056 has 96 divisors (see below), whose sum is σ = 321491520. Its totient is φ = 35707392.

The previous prime is 108673049. The next prime is 108673057. The reversal of 108673056 is 650376801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108673056.

It is not an unprimeable number, because it can be changed into a prime (108673057) 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 15 ways as a sum of consecutive naturals, for example, 62211 + ... + 63933.

It is an arithmetic number, because the mean of its divisors is an integer number (3348870).

Almost surely, 2108673056 is an apocalyptic number.

108673056 is a gapful number since it is divisible by the number (16) 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 108673056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160745760).

108673056 is an abundant number, since it is smaller than the sum of its proper divisors (212818464).

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

108673056 is a wasteful number, since it uses less digits than its factorization.

108673056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 108673056 is about 10424.6369720964. The cubic root of 108673056 is about 477.2075359715.

The spelling of 108673056 in words is "one hundred eight million, six hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1723 1752 1971 2336 2628 3446 3504 3942 5169 5256 6892 7008 7884 10338 10512 13784 15507 15768 20676 21024 27568 31014 31536 41352 46521 55136 62028 63072 82704 93042 124056 125779 165408 186084 248112 251558 372168 377337 496224 503116 744336 754674 1006232 1132011 1488672 1509348 2012464 2264022 3018696 3396033 4024928 4528044 6037392 6792066 9056088 12074784 13584132 18112176 27168264 36224352 54336528 108673056