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109841328 = 2432292907
BaseRepresentation
bin1101000110000…
…00101110110000
321122200111222100
412203000232300
5211104410303
614522140400
72502431052
oct643005660
9248614870
10109841328
1157003463
1230951700
13199ab08c
14108338d2
15999a8a3
hex68c0bb0

109841328 has 90 divisors (see below), whose sum is σ = 318719804. Its totient is φ = 35312256.

The previous prime is 109841323. The next prime is 109841351. The reversal of 109841328 is 823148901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109841292 and 109841301.

It is not an unprimeable number, because it can be changed into a prime (109841323) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 120651 + ... + 121557.

Almost surely, 2109841328 is an apocalyptic number.

109841328 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 109841328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159359902).

109841328 is an abundant number, since it is smaller than the sum of its proper divisors (208878476).

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

109841328 is a wasteful number, since it uses less digits than its factorization.

109841328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109841328 is about 10480.5213610774. The cubic root of 109841328 is about 478.9114917614.

The spelling of 109841328 in words is "one hundred nine million, eight hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 907 1044 1392 1682 1814 2088 2523 2721 3364 3628 4176 5046 5442 6728 7256 7569 8163 10092 10884 13456 14512 15138 16326 20184 21768 26303 30276 32652 40368 43536 52606 60552 65304 78909 105212 121104 130608 157818 210424 236727 315636 420848 473454 631272 762787 946908 1262544 1525574 1893816 2288361 3051148 3787632 4576722 6102296 6865083 9153444 12204592 13730166 18306888 27460332 36613776 54920664 109841328