Search a number
-
+
108235008 = 283372237
BaseRepresentation
bin1100111001110…
…00100100000000
321112122220112000
412130320210000
5210202010013
614423504000
72452660650
oct634704400
9245586460
10108235008
1156106622
12302b8000
1319567bab
1410536360
15977e973
hex6738900

108235008 has 144 divisors (see below), whose sum is σ = 365957760. Its totient is φ = 30910464.

The previous prime is 108234943. The next prime is 108235009. The reversal of 108235008 is 800532801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108235009) 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, 47266 + ... + 49502.

Almost surely, 2108235008 is an apocalyptic number.

108235008 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 108235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182978880).

108235008 is an abundant number, since it is smaller than the sum of its proper divisors (257722752).

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

108235008 is an equidigital number, since it uses as much as digits as its factorization.

108235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 108235008 is about 10403.6055288539. The cubic root of 108235008 is about 476.5654838183.

Adding to 108235008 its reverse (800532801), we get a palindrome (908767809).

The spelling of 108235008 in words is "one hundred eight million, two hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2237 2304 2688 3024 3456 4032 4474 5376 6048 6711 6912 8064 8948 12096 13422 15659 16128 17896 20133 24192 26844 31318 35792 40266 46977 48384 53688 60399 62636 71584 80532 93954 107376 120798 125272 140931 143168 161064 187908 214752 241596 250544 281862 286336 322128 375816 422793 429504 483192 501088 563724 572672 644256 751632 845586 859008 966384 1002176 1127448 1288512 1503264 1691172 1718016 1932768 2004352 2254896 2577024 3006528 3382344 3865536 4008704 4509792 5154048 6013056 6764688 7731072 9019584 12026112 13529376 15462144 18039168 27058752 36078336 54117504 108235008