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109119744 = 283315787
BaseRepresentation
bin1101000000100…
…00100100000000
321121022212011000
412200100210000
5210413312434
614454452000
72463334236
oct640204400
9247285130
10109119744
1156660308
1230664000
13197b77c6
14106c6956
1598a6b99
hex6810900

109119744 has 72 divisors (see below), whose sum is σ = 322706720. Its totient is φ = 36370944.

The previous prime is 109119677. The next prime is 109119749. The reversal of 109119744 is 447911901.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 109119699 and 109119708.

It is not an unprimeable number, because it can be changed into a prime (109119749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982 + ... + 14805.

Almost surely, 2109119744 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 109119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161353360).

109119744 is an abundant number, since it is smaller than the sum of its proper divisors (213586976).

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

109119744 is an equidigital number, since it uses as much as digits as its factorization.

109119744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15812 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109119744 is about 10446.0396323200. The cubic root of 109119744 is about 477.8604775940.

The spelling of 109119744 in words is "one hundred nine million, one hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 15787 31574 47361 63148 94722 126296 142083 189444 252592 284166 378888 426249 505184 568332 757776 852498 1010368 1136664 1515552 1704996 2020736 2273328 3031104 3409992 4041472 4546656 6062208 6819984 9093312 12124416 13639968 18186624 27279936 36373248 54559872 109119744