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203132540 = 22513839413
BaseRepresentation
bin11000001101110…
…00111001111100
3112011020012110102
430012320321330
5404000220130
632053500232
75014412102
oct1406707174
9464205412
10203132540
11a4732536
1258041678
1333113090
141cd99c72
1512c77645
hexc1b8e7c

203132540 has 48 divisors (see below), whose sum is σ = 464976288. Its totient is φ = 74091264.

The previous prime is 203132537. The next prime is 203132549. The reversal of 203132540 is 45231302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132549) 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, 16874 + ... + 26286.

It is an arithmetic number, because the mean of its divisors is an integer number (9687006).

Almost surely, 2203132540 is an apocalyptic number.

203132540 is a gapful number since it is divisible by the number (20) 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 203132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232488144).

203132540 is an abundant number, since it is smaller than the sum of its proper divisors (261843748).

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

203132540 is a wasteful number, since it uses less digits than its factorization.

203132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 203132540 is about 14252.4573319831. The cubic root of 203132540 is about 587.8409453022.

Adding to 203132540 its reverse (45231302), we get a palindrome (248363842).

The spelling of 203132540 in words is "two hundred three million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 9413 10790 18826 21580 37652 47065 94130 122369 188260 244738 489476 611845 781279 1223690 1562558 2447380 3125116 3906395 7812790 10156627 15625580 20313254 40626508 50783135 101566270 203132540