Search a number
-
+
108350528 = 26111311839
BaseRepresentation
bin1100111010101…
…00110001000000
321112212202222112
412131110301000
5210214204103
614430154452
72453651516
oct635246100
9245782875
10108350528
11561853a0
1230352a28
13195a8650
14105664b6
1597a3cd8
hex6754c40

108350528 has 56 divisors (see below), whose sum is σ = 252618240. Its totient is φ = 45457920.

The previous prime is 108350479. The next prime is 108350531. The reversal of 108350528 is 825053801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 108350494 and 108350503.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3233 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (4511040).

Almost surely, 2108350528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309120).

108350528 is an abundant number, since it is smaller than the sum of its proper divisors (144267712).

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

108350528 is a wasteful number, since it uses less digits than its factorization.

108350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 108350528 is about 10409.1559696260. The cubic root of 108350528 is about 476.7349707868.

It can be divided in two parts, 10 and 8350528, that added together give a palindrome (8350538).

The spelling of 108350528 in words is "one hundred eight million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 11839 23678 47356 94712 130229 153907 189424 260458 307814 378848 520916 615628 757696 1041832 1231256 1692977 2083664 2462512 3385954 4167328 4925024 6771908 8334656 9850048 13543816 27087632 54175264 108350528