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108148968 = 233217149593
BaseRepresentation
bin1100111001000…
…11100011101000
321112111112111100
412130203203220
5210141231333
614422001400
72452152054
oct634434350
9245445440
10108148968
1156057a14
1230276260
1319537995
1410512c64
159764213
hex67238e8

108148968 has 96 divisors (see below), whose sum is σ = 312741000. Its totient is φ = 33644544.

The previous prime is 108148961. The next prime is 108148981. The reversal of 108148968 is 869841801.

108148968 is a `hidden beast` number, since 108 + 1 + 489 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91355364 + 16793604 = 9558^2 + 4098^2 .

It is not an unprimeable number, because it can be changed into a prime (108148961) 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 23 ways as a sum of consecutive naturals, for example, 182080 + ... + 182672.

Almost surely, 2108148968 is an apocalyptic number.

108148968 is a gapful number since it is divisible by the number (18) 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 108148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156370500).

108148968 is an abundant number, since it is smaller than the sum of its proper divisors (204592032).

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

108148968 is a wasteful number, since it uses less digits than its factorization.

108148968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 108148968 is about 10399.4696018595. The cubic root of 108148968 is about 476.4391705151.

The spelling of 108148968 in words is "one hundred eight million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 149 153 204 298 306 408 447 593 596 612 894 1186 1192 1224 1341 1779 1788 2372 2533 2682 3558 3576 4744 5066 5337 5364 7116 7599 10081 10132 10674 10728 14232 15198 20162 20264 21348 22797 30243 30396 40324 42696 45594 60486 60792 80648 88357 90729 91188 120972 176714 181458 182376 241944 265071 353428 362916 530142 706856 725832 795213 1060284 1502069 1590426 2120568 3004138 3180852 4506207 6008276 6361704 9012414 12016552 13518621 18024828 27037242 36049656 54074484 108148968