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203135540 = 225233831153
BaseRepresentation
bin11000001101110…
…01101000110100
3112011020100120112
430012321220310
5404000314130
632053522152
75014423616
oct1406715064
9464210515
10203135540
11a4734813
1258043358
133311455a
141cd9adb6
1512c78495
hexc1b9a34

203135540 has 48 divisors (see below), whose sum is σ = 446681088. Its totient is φ = 77451264.

The previous prime is 203135521. The next prime is 203135579. The reversal of 203135540 is 45531302.

It is a super-2 number, since 2×2031355402 = 82528095222183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175604 + ... + 176756.

It is an arithmetic number, because the mean of its divisors is an integer number (9305856).

Almost surely, 2203135540 is an apocalyptic number.

203135540 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 203135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223340544).

203135540 is an abundant number, since it is smaller than the sum of its proper divisors (243545548).

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

203135540 is a wasteful number, since it uses less digits than its factorization.

203135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 203135540 is about 14252.5625766035. The cubic root of 203135540 is about 587.8438391667.

Adding to 203135540 its reverse (45531302), we get a palindrome (248666842).

The spelling of 203135540 in words is "two hundred three million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 383 460 766 1153 1532 1915 2306 3830 4612 5765 7660 8809 11530 17618 23060 26519 35236 44045 53038 88090 106076 132595 176180 265190 441599 530380 883198 1766396 2207995 4415990 8831980 10156777 20313554 40627108 50783885 101567770 203135540