Search a number
-
+
109207032 = 23311569727
BaseRepresentation
bin1101000001001…
…01110111111000
321121111021212220
412200211313320
5210424111112
614500404040
72464146564
oct640456770
9247437786
10109207032
115670a950
12306a6620
131981845c
141070a6a4
1598c298c
hex6825df8

109207032 has 64 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 32989440.

The previous prime is 109207027. The next prime is 109207039. The reversal of 109207032 is 230702901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 109206993 and 109207011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109207039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149853 + ... + 150579.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2109207032 is an apocalyptic number.

109207032 is a gapful number since it is divisible by the number (12) 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 109207032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

109207032 is an abundant number, since it is smaller than the sum of its proper divisors (189564168).

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

109207032 is a wasteful number, since it uses less digits than its factorization.

109207032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 109207032 is about 10450.2168398555. The cubic root of 109207032 is about 477.9878617157.

Adding to 109207032 its reverse (230702901), we get a palindrome (339909933).

The spelling of 109207032 in words is "one hundred nine million, two hundred seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 569 727 1138 1454 1707 2181 2276 2908 3414 4362 4552 5816 6259 6828 7997 8724 12518 13656 15994 17448 18777 23991 25036 31988 37554 47982 50072 63976 75108 95964 150216 191928 413663 827326 1240989 1654652 2481978 3309304 4550293 4963956 9100586 9927912 13650879 18201172 27301758 36402344 54603516 109207032