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109125632 = 213711173
BaseRepresentation
bin1101000000100…
…10000000000000
321121100011020002
412200102000000
5210414010012
614454535132
72463360350
oct640220000
9247304202
10109125632
1156664780
12306674a8
13197ba3a5
14106c8b60
1598a87c2
hex6812000

109125632 has 112 divisors (see below), whose sum is σ = 273661632. Its totient is φ = 42270720.

The previous prime is 109125631. The next prime is 109125671. The reversal of 109125632 is 236521901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 109125595 and 109125604.

It is not an unprimeable number, because it can be changed into a prime (109125631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630698 + ... + 630870.

Almost surely, 2109125632 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 109125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136830816).

109125632 is an abundant number, since it is smaller than the sum of its proper divisors (164536000).

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

109125632 is an equidigital number, since it uses as much as digits as its factorization.

109125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 109125632 is about 10446.3214578147. The cubic root of 109125632 is about 477.8690724085.

The spelling of 109125632 in words is "one hundred nine million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 173 176 224 256 308 346 352 448 512 616 692 704 896 1024 1211 1232 1384 1408 1792 1903 2048 2422 2464 2768 2816 3584 3806 4096 4844 4928 5536 5632 7168 7612 8192 9688 9856 11072 11264 13321 14336 15224 19376 19712 22144 22528 26642 28672 30448 38752 39424 44288 45056 53284 57344 60896 77504 78848 88576 90112 106568 121792 155008 157696 177152 213136 243584 310016 315392 354304 426272 487168 620032 630784 708608 852544 974336 1240064 1417216 1705088 1948672 2480128 3410176 3897344 4960256 6820352 7794688 9920512 13640704 15589376 27281408 54562816 109125632