Search a number
-
+
103090932 = 223273131307
BaseRepresentation
bin1100010010100…
…00101011110100
321011222120011200
412021100223310
5202342402212
614121332500
72361154440
oct611205364
9234876150
10103090932
115321281a
122a637130
1318486669
14d997820
1590b56dc
hex6250af4

103090932 has 72 divisors (see below), whose sum is σ = 298998336. Its totient is φ = 29337984.

The previous prime is 103090931. The next prime is 103090951. The reversal of 103090932 is 239090301.

103090932 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

103090932 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 103090896 and 103090905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103090931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78223 + ... + 79529.

Almost surely, 2103090932 is an apocalyptic number.

103090932 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 103090932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149499168).

103090932 is an abundant number, since it is smaller than the sum of its proper divisors (195907404).

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

103090932 is a wasteful number, since it uses less digits than its factorization.

103090932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 103090932 is about 10153.3704748719. The cubic root of 103090932 is about 468.8927185693.

The spelling of 103090932 in words is "one hundred three million, ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 313 626 939 1252 1307 1878 2191 2614 2817 3756 3921 4382 5228 5634 6573 7842 8764 9149 11268 11763 13146 15684 18298 19719 23526 26292 27447 36596 39438 47052 54894 78876 82341 109788 164682 329364 409091 818182 1227273 1636364 2454546 2863637 3681819 4909092 5727274 7363638 8590911 11454548 14727276 17181822 25772733 34363644 51545466 103090932