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201332540 = 22537733727
BaseRepresentation
bin11000000000000…
…01011100111100
3112000211202022202
430000001130330
5403020120130
631551131032
74663204223
oct1400013474
9460752282
10201332540
11a3713132
1257513a78
13329329a6
141ca4bcba
1512a1e145
hexc00173c

201332540 has 48 divisors (see below), whose sum is σ = 440291712. Its totient is φ = 77262336.

The previous prime is 201332489. The next prime is 201332567. The reversal of 201332540 is 45233102.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52157 + ... + 55883.

It is an arithmetic number, because the mean of its divisors is an integer number (9172744).

Almost surely, 2201332540 is an apocalyptic number.

201332540 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 201332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220145856).

201332540 is an abundant number, since it is smaller than the sum of its proper divisors (238959172).

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

201332540 is a wasteful number, since it uses less digits than its factorization.

201332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3844 counting only the distinct ones).

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

The square root of 201332540 is about 14189.1698136290. The cubic root of 201332540 is about 586.0994639881.

Adding to 201332540 its reverse (45233102), we get a palindrome (246565642).

The spelling of 201332540 in words is "two hundred one million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 3727 5402 7454 10804 13505 14908 18635 27010 37270 54020 74540 137899 272071 275798 544142 551596 689495 1088284 1360355 1378990 2720710 2757980 5441420 10066627 20133254 40266508 50333135 100666270 201332540