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108117376 = 27612227
BaseRepresentation
bin1100111000110…
…11110110000000
321112102221011021
412130123312000
5210134224001
614421155224
72451661003
oct634336600
9245387137
10108117376
1156036204
123025bb14
13195264a3
141050553a
159759ba1
hex671bd80

108117376 has 48 divisors (see below), whose sum is σ = 219943620. Its totient is φ = 52938240.

The previous prime is 108117371. The next prime is 108117379. The reversal of 108117376 is 673711801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108117371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476175 + ... + 476401.

Almost surely, 2108117376 is an apocalyptic number.

108117376 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 108117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109971810).

108117376 is an abundant number, since it is smaller than the sum of its proper divisors (111826244).

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

108117376 is an frugal number, since it uses more digits than its factorization.

108117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 108117376 is about 10397.9505672993. The cubic root of 108117376 is about 476.3927742267.

The spelling of 108117376 in words is "one hundred eight million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 227 244 454 488 908 976 1816 1952 3632 3721 3904 7264 7442 7808 13847 14528 14884 27694 29056 29768 55388 59536 110776 119072 221552 238144 443104 476288 844667 886208 1689334 1772416 3378668 6757336 13514672 27029344 54058688 108117376