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534177540 = 2232513228281
BaseRepresentation
bin11111110101101…
…110011100000100
31101020011000211100
4133311232130010
52043222140130
6125001140100
716144301631
oct3765563404
91336130740
10534177540
11254590546
1212aa8a630
13868906b0
1450d31188
1531d69c60
hex1fd6e704

534177540 has 72 divisors (see below), whose sum is σ = 1744987608. Its totient is φ = 131489280.

The previous prime is 534177509. The next prime is 534177541. The reversal of 534177540 is 45771435.

It is a happy number.

534177540 is a `hidden beast` number, since 5 + 3 + 41 + 77 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 534164544 = 114^2 + 23112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 534177495 and 534177504.

It is not an unprimeable number, because it can be changed into a prime (534177541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111801 + ... + 116480.

It is an arithmetic number, because the mean of its divisors is an integer number (24235939).

Almost surely, 2534177540 is an apocalyptic number.

It is an amenable number.

534177540 is an abundant number, since it is smaller than the sum of its proper divisors (1210810068).

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

534177540 is a wasteful number, since it uses less digits than its factorization.

534177540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228309 (or 228304 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 534177540 is about 23112.2811509379. The cubic root of 534177540 is about 811.3879267989.

The spelling of 534177540 in words is "five hundred thirty-four million, one hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 228281 456562 684843 913124 1141405 1369686 2054529 2282810 2739372 2967653 3424215 4109058 4565620 5935306 6848430 8218116 8902959 10272645 11870612 13696860 14838265 17805918 20545290 26708877 29676530 35611836 41090580 44514795 53417754 59353060 89029590 106835508 133544385 178059180 267088770 534177540