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103088232 = 233213241457
BaseRepresentation
bin1100010010100…
…00000001101000
321011222102110200
412021100001220
5202342310412
614121312200
72361143532
oct611200150
9234872420
10103088232
1153210795
122a635660
1318485370
14d996852
1590b49dc
hex6250068

103088232 has 96 divisors (see below), whose sum is σ = 302582280. Its totient is φ = 31518720.

The previous prime is 103088213. The next prime is 103088257. The reversal of 103088232 is 232880301.

It can be written as a sum of positive squares in 4 ways, for example, as 96707556 + 6380676 = 9834^2 + 2526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103088196 and 103088205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225348 + ... + 225804.

Almost surely, 2103088232 is an apocalyptic number.

103088232 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 103088232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151291140).

103088232 is an abundant number, since it is smaller than the sum of its proper divisors (199494048).

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

103088232 is a wasteful number, since it uses less digits than its factorization.

103088232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103088232 is about 10153.2375132270. The cubic root of 103088232 is about 468.8886250266. Note that the first 3 decimals are identical.

The spelling of 103088232 in words is "one hundred three million, eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 241 312 457 468 482 723 914 936 964 1371 1446 1828 1928 2169 2742 2892 3133 3656 4113 4338 5484 5784 5941 6266 8226 8676 9399 10968 11882 12532 16452 17352 17823 18798 23764 25064 28197 32904 35646 37596 47528 53469 56394 71292 75192 106938 110137 112788 142584 213876 220274 225576 330411 427752 440548 660822 881096 991233 1321644 1431781 1982466 2643288 2863562 3964932 4295343 5727124 7929864 8590686 11454248 12886029 17181372 25772058 34362744 51544116 103088232