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540681190 = 25753217
BaseRepresentation
bin100000001110100…
…010001111100110
31101200101110011021
4200032202033212
52101403244230
6125352401354
716253500000
oct4016421746
91350343137
10540681190
11258222865
121310a625a
13880299ca
1451b45370
1532701c7a
hex203a23e6

540681190 has 48 divisors (see below), whose sum is σ = 1135773792. Its totient is φ = 185318784.

The previous prime is 540681187. The next prime is 540681283. The reversal of 540681190 is 91186045.

It is a super-2 number, since 2×5406811902 = 584672298439632200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 166462 + ... + 169678.

It is an arithmetic number, because the mean of its divisors is an integer number (23661954).

Almost surely, 2540681190 is an apocalyptic number.

540681190 is an abundant number, since it is smaller than the sum of its proper divisors (595092602).

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

540681190 is an frugal number, since it uses more digits than its factorization.

540681190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 540681190 is about 23252.5523330236. The cubic root of 540681190 is about 814.6675548275.

The spelling of 540681190 in words is "five hundred forty million, six hundred eighty-one thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2401 3217 3430 4802 6434 12005 16085 16807 22519 24010 32170 33614 45038 84035 112595 157633 168070 225190 315266 788165 1103431 1576330 2206862 5517155 7724017 11034310 15448034 38620085 54068119 77240170 108136238 270340595 540681190