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108233968 = 2417289263
BaseRepresentation
bin1100111001110…
…00010011110000
321112122212002111
412130320103300
5210201441333
614423455104
72452654633
oct634702360
9245585074
10108233968
1156105867
12302b7494
131956758b
1410535c1a
15977e4cd
hex67384f0

108233968 has 60 divisors (see below), whose sum is σ = 226123920. Its totient is φ = 50169856.

The previous prime is 108233963. The next prime is 108233969. The reversal of 108233968 is 869332801.

It is a self number, because there is not a number n which added to its sum of digits gives 108233968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108233963) 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 11 ways as a sum of consecutive naturals, for example, 411405 + ... + 411667.

It is an arithmetic number, because the mean of its divisors is an integer number (3768732).

Almost surely, 2108233968 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 108233968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113061960).

108233968 is an abundant number, since it is smaller than the sum of its proper divisors (117889952).

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

108233968 is a wasteful number, since it uses less digits than its factorization.

108233968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 108233968 is about 10403.5555460621. Note that the first 4 decimals coincide. The cubic root of 108233968 is about 476.5639574185.

The spelling of 108233968 in words is "one hundred eight million, two hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 263 272 289 356 526 578 712 1052 1156 1424 1513 2104 2312 3026 4208 4471 4624 6052 8942 12104 17884 23407 24208 25721 35768 46814 51442 71536 76007 93628 102884 152014 187256 205768 304028 374512 397919 411536 608056 795838 1216112 1591676 3183352 6366704 6764623 13529246 27058492 54116984 108233968