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540197037 = 321927111657
BaseRepresentation
bin100000001100101…
…100000010101101
31101122110212000200
4200030230002231
52101242301122
6125334144113
716246412322
oct4014540255
91348425020
10540197037
11257a22036
12130ab2039
1387bba523
1451a5ab49
15326585ac
hex2032c0ad

540197037 has 24 divisors (see below), whose sum is σ = 824453760. Its totient is φ = 339888960.

The previous prime is 540197033. The next prime is 540197051. The reversal of 540197037 is 730791045.

It is a happy number.

540197037 is a `hidden beast` number, since 540 + 19 + 70 + 37 = 666.

It is not a de Polignac number, because 540197037 - 22 = 540197033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540196992 and 540197010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540197033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40513 + ... + 52169.

It is an arithmetic number, because the mean of its divisors is an integer number (34352240).

Almost surely, 2540197037 is an apocalyptic number.

540197037 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

540197037 is a deficient number, since it is larger than the sum of its proper divisors (284256723).

540197037 is a wasteful number, since it uses less digits than its factorization.

540197037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 540197037 is about 23242.1392517987. The cubic root of 540197037 is about 814.4243175091.

The spelling of 540197037 in words is "five hundred forty million, one hundred ninety-seven thousand, thirty-seven".

Divisors: 1 3 9 19 57 171 271 813 2439 5149 11657 15447 34971 46341 104913 221483 664449 1993347 3159047 9477141 28431423 60021893 180065679 540197037