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81540901 = 1355711261
BaseRepresentation
bin1001101110000…
…11011100100101
312200102201002101
410313003130211
5131333302101
612031412101
72010041401
oct467033445
9180381071
1081540901
1142033982
1223384031
1313b7c870
14ab88101
15725a401
hex4dc3725

81540901 has 8 divisors (see below), whose sum is σ = 87978744. Its totient is φ = 75126720.

The previous prime is 81540889. The next prime is 81540929. The reversal of 81540901 is 10904518.

It is a happy number.

It is a Cunningham number, because it is equal to 90302+1.

It can be written as a sum of positive squares in 4 ways, for example, as 7150276 + 74390625 = 2674^2 + 8625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 81540901 - 217 = 81409829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81540901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81540961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1611 + ... + 12871.

It is an arithmetic number, because the mean of its divisors is an integer number (10997343).

Almost surely, 281540901 is an apocalyptic number.

It is an amenable number.

81540901 is a deficient number, since it is larger than the sum of its proper divisors (6437843).

81540901 is a wasteful number, since it uses less digits than its factorization.

81540901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 81540901 is about 9030.0000553710. Note that the first 4 decimals coincide. The cubic root of 81540901 is about 433.6358392017.

The spelling of 81540901 in words is "eighty-one million, five hundred forty thousand, nine hundred one".

Divisors: 1 13 557 7241 11261 146393 6272377 81540901