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109986336 = 253442433
BaseRepresentation
bin1101000111001…
…00001000100000
321122221212220000
412203210020200
5211124030321
614525220000
72503603605
oct643441040
9248855800
10109986336
11570a23a9
1230a01600
1319a2c095
14108706ac
1599c8826
hex68e4220

109986336 has 60 divisors (see below), whose sum is σ = 323474382. Its totient is φ = 36661248.

The previous prime is 109986319. The next prime is 109986343. The reversal of 109986336 is 633689901.

109986336 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91011600 + 18974736 = 9540^2 + 4356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 109986291 and 109986300.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18625 + ... + 23808.

Almost surely, 2109986336 is an apocalyptic number.

109986336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109986336 is an abundant number, since it is smaller than the sum of its proper divisors (213488046).

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

109986336 is an equidigital number, since it uses as much as digits as its factorization.

109986336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42455 (or 42438 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 109986336 is about 10487.4370558302. The cubic root of 109986336 is about 479.1221455027.

The spelling of 109986336 in words is "one hundred nine million, nine hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 42433 84866 127299 169732 254598 339464 381897 509196 678928 763794 1018392 1145691 1357856 1527588 2036784 2291382 3055176 3437073 4073568 4582764 6110352 6874146 9165528 12220704 13748292 18331056 27496584 36662112 54993168 109986336