Search a number
-
+
109470528 = 26357039
BaseRepresentation
bin1101000011001…
…10001101000000
321121222200100000
412201212031000
5211011024103
614510200000
72466325026
oct641461500
9247880300
10109470528
115687a912
12307b3000
13198ab37b
1410778716
159925aa3
hex6866340

109470528 has 84 divisors (see below), whose sum is σ = 325445120. Its totient is φ = 36484992.

The previous prime is 109470521. The next prime is 109470541. The reversal of 109470528 is 825074901.

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 = 109470492 and 109470501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109470521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12033 + ... + 19071.

Almost surely, 2109470528 is an apocalyptic number.

109470528 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 109470528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162722560).

109470528 is an abundant number, since it is smaller than the sum of its proper divisors (215974592).

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

109470528 is an frugal number, since it uses more digits than its factorization.

109470528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 109470528 is about 10462.8164468273. The cubic root of 109470528 is about 478.3719845042.

The spelling of 109470528 in words is "one hundred nine million, four hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7039 7776 14078 15552 21117 28156 42234 56312 63351 84468 112624 126702 168936 190053 225248 253404 337872 380106 450496 506808 570159 675744 760212 1013616 1140318 1351488 1520424 1710477 2027232 2280636 3040848 3420954 4054464 4561272 6081696 6841908 9122544 12163392 13683816 18245088 27367632 36490176 54735264 109470528