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109198128 = 243131031699
BaseRepresentation
bin1101000001000…
…11101100110000
321121110211200010
412200203230300
5210423320003
614500254520
72464111614
oct640435460
9247424603
10109198128
1156704196
12306a1440
13198143a0
1410707344
1598c0003
hex6823b30

109198128 has 80 divisors (see below), whose sum is σ = 306924800. Its totient is φ = 33253632.

The previous prime is 109198099. The next prime is 109198139. The reversal of 109198128 is 821891901.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 63423 + ... + 65121.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2109198128 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 109198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153462400).

109198128 is an abundant number, since it is smaller than the sum of its proper divisors (197726672).

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

109198128 is a wasteful number, since it uses less digits than its factorization.

109198128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The square root of 109198128 is about 10449.7908113034. The cubic root of 109198128 is about 477.9748707342.

The spelling of 109198128 in words is "one hundred nine million, one hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1236 1339 1648 1699 2472 2678 3398 4017 4944 5097 5356 6796 8034 10194 10712 13592 16068 20388 21424 22087 27184 32136 40776 44174 64272 66261 81552 88348 132522 174997 176696 265044 349994 353392 524991 530088 699988 1049982 1060176 1399976 2099964 2274961 2799952 4199928 4549922 6824883 8399856 9099844 13649766 18199688 27299532 36399376 54599064 109198128