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108393768 = 23337174217
BaseRepresentation
bin1100111010111…
…11010100101000
321112221222022000
412131133110220
5210222100033
614431131000
72454221550
oct635372450
9245858260
10108393768
115620492a
1230373a60
13195c2232
1410578160
1597b1a13
hex675f528

108393768 has 128 divisors (see below), whose sum is σ = 364435200. Its totient is φ = 29140992.

The previous prime is 108393749. The next prime is 108393773. The reversal of 108393768 is 867393801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23596 + ... + 27812.

It is an arithmetic number, because the mean of its divisors is an integer number (2847150).

Almost surely, 2108393768 is an apocalyptic number.

108393768 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 108393768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182217600).

108393768 is an abundant number, since it is smaller than the sum of its proper divisors (256041432).

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

108393768 is a wasteful number, since it uses less digits than its factorization.

108393768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 108393768 is about 10411.2327800314. The cubic root of 108393768 is about 476.7983800412.

The spelling of 108393768 in words is "one hundred eight million, three hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4217 4284 6426 8434 8568 12651 12852 16868 25302 25704 29519 33736 37953 50604 59038 71689 75906 88557 101208 113859 118076 143378 151812 177114 215067 227718 236152 265671 286756 303624 354228 430134 455436 501823 531342 573512 645201 708456 797013 860268 910872 1003646 1062684 1290402 1505469 1594026 1720536 1935603 2007292 2125368 2580804 3010938 3188052 3871206 4014584 4516407 5161608 6021876 6376104 7742412 9032814 12043752 13549221 15484824 18065628 27098442 36131256 54196884 108393768