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108509920 = 25531131167
BaseRepresentation
bin1100111011110…
…11101011100000
321120011212121221
412131323223200
5210234304140
614433424424
72455214311
oct635735340
9246155557
10108509920
1156284122
123040b114
131963306c
14105a8608
1597d614a
hex677bae0

108509920 has 96 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 41433600.

The previous prime is 108509881. The next prime is 108509927. The reversal of 108509920 is 29905801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108509927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649677 + ... + 649843.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2108509920 is an apocalyptic number.

108509920 is a gapful number since it is divisible by the number (10) 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 108509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

108509920 is an abundant number, since it is smaller than the sum of its proper divisors (159730976).

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

108509920 is a wasteful number, since it uses less digits than its factorization.

108509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 108509920 is about 10416.8094923542. The cubic root of 108509920 is about 476.9686275766.

The spelling of 108509920 in words is "one hundred eight million, five hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 131 155 160 167 248 262 310 334 496 524 620 655 668 835 992 1048 1240 1310 1336 1670 2096 2480 2620 2672 3340 4061 4192 4960 5177 5240 5344 6680 8122 10354 10480 13360 16244 20305 20708 20960 21877 25885 26720 32488 40610 41416 43754 51770 64976 81220 82832 87508 103540 109385 129952 162440 165664 175016 207080 218770 324880 350032 414160 437540 649760 678187 700064 828320 875080 1356374 1750160 2712748 3390935 3500320 5425496 6781870 10850992 13563740 21701984 27127480 54254960 108509920