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10132500 = 223547193
BaseRepresentation
bin100110101001…
…110000010100
3201001210011210
4212221300110
510043220000
61001101420
7152060550
oct46516024
921053153
1010132500
1157a0774
123487870
132139c81
1414ba860
15d52350
hex9a9c14

10132500 has 120 divisors (see below), whose sum is σ = 33939136. Its totient is φ = 2304000.

The previous prime is 10132439. The next prime is 10132501. The reversal of 10132500 is 523101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52404 + ... + 52596.

Almost surely, 210132500 is an apocalyptic number.

10132500 is a gapful number since it is divisible by the number (10) 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 10132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969568).

10132500 is an abundant number, since it is smaller than the sum of its proper divisors (23806636).

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

10132500 is a wasteful number, since it uses less digits than its factorization.

10132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10132500 is about 3183.1588084794. The cubic root of 10132500 is about 216.3908390130.

Adding to 10132500 its reverse (523101), we get a palindrome (10655601).

The spelling of 10132500 in words is "ten million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 193 210 250 300 350 375 386 420 500 525 579 625 700 750 772 875 965 1050 1158 1250 1351 1500 1750 1875 1930 2100 2316 2500 2625 2702 2895 3500 3750 3860 4053 4375 4825 5250 5404 5790 6755 7500 8106 8750 9650 10500 11580 13125 13510 14475 16212 17500 19300 20265 24125 26250 27020 28950 33775 40530 48250 52500 57900 67550 72375 81060 96500 101325 120625 135100 144750 168875 202650 241250 289500 337750 361875 405300 482500 506625 675500 723750 844375 1013250 1447500 1688750 2026500 2533125 3377500 5066250 10132500