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103132530 = 232510910513
BaseRepresentation
bin1100010010110…
…10110101110010
321012001200020100
412021122311302
5202400220110
614122253230
72361416634
oct611326562
9235050210
10103132530
1153240aa6
122a657216
131849c587
14d9a8a54
1590c2bc0
hex625ad72

103132530 has 48 divisors (see below), whose sum is σ = 270630360. Its totient is φ = 27247104.

The previous prime is 103132511. The next prime is 103132537. The reversal of 103132530 is 35231301.

103132530 is a `hidden beast` number, since 1 + 0 + 3 + 132 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55398249 + 47734281 = 7443^2 + 6909^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103132537) 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, 4554 + ... + 15066.

Almost surely, 2103132530 is an apocalyptic number.

103132530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103132530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135315180).

103132530 is an abundant number, since it is smaller than the sum of its proper divisors (167497830).

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

103132530 is a wasteful number, since it uses less digits than its factorization.

103132530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103132530 is about 10155.4187505981. The cubic root of 103132530 is about 468.9557773855.

Adding to 103132530 its reverse (35231301), we get a palindrome (138363831).

The spelling of 103132530 in words is "one hundred three million, one hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 10513 21026 31539 52565 63078 94617 105130 157695 189234 315390 473085 946170 1145917 2291834 3437751 5729585 6875502 10313253 11459170 17188755 20626506 34377510 51566265 103132530