Search a number
-
+
109291968 = 2632189743
BaseRepresentation
bin1101000001110…
…10100111000000
321121122121101200
412200322213000
5210434320333
614502301200
72464652322
oct640724700
9247577350
10109291968
1156768745
1230727800
1319848006
141072d612
1598dcc13
hex683a9c0

109291968 has 42 divisors (see below), whose sum is σ = 313267344. Its totient is φ = 36430464.

The previous prime is 109291951. The next prime is 109291979. The reversal of 109291968 is 869192901.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 94296 + ... + 95447.

Almost surely, 2109291968 is an apocalyptic number.

109291968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109291968 is an abundant number, since it is smaller than the sum of its proper divisors (203975376).

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

109291968 is a wasteful number, since it uses less digits than its factorization.

109291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189761 (or 189748 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 109291968 is about 10454.2798891172. The cubic root of 109291968 is about 478.1117482935. Note that the first 3 decimals are identical.

The spelling of 109291968 in words is "one hundred nine million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 189743 379486 569229 758972 1138458 1517944 1707687 2276916 3035888 3415374 4553832 6071776 6830748 9107664 12143552 13661496 18215328 27322992 36430656 54645984 109291968