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540714132 = 223274771643
BaseRepresentation
bin100000001110101…
…010010010010100
31101200110010100100
4200032222102110
52101410323012
6125353214100
716253665020
oct4016522224
91350403310
10540714132
11258245592
12131101330
138803b9ba
1451b53380
153270b8dc
hex203aa494

540714132 has 144 divisors (see below), whose sum is σ = 1620283392. Its totient is φ = 148841280.

The previous prime is 540714101. The next prime is 540714133. The reversal of 540714132 is 231417045.

It is a junction number, because it is equal to n+sod(n) for n = 540714096 and 540714105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540714133) 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 47 ways as a sum of consecutive naturals, for example, 840603 + ... + 841245.

It is an arithmetic number, because the mean of its divisors is an integer number (11251968).

Almost surely, 2540714132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540714132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810141696).

540714132 is an abundant number, since it is smaller than the sum of its proper divisors (1079569260).

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

540714132 is a wasteful number, since it uses less digits than its factorization.

540714132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 540714132 is about 23253.2606745807. The cubic root of 540714132 is about 814.6840995332.

The spelling of 540714132 in words is "five hundred forty million, seven hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 71 84 94 126 141 142 188 213 252 282 284 329 423 426 497 564 639 643 658 846 852 987 994 1278 1286 1316 1491 1692 1929 1974 1988 2556 2572 2961 2982 3337 3858 3948 4473 4501 5787 5922 5964 6674 7716 8946 9002 10011 11574 11844 13348 13503 17892 18004 20022 23148 23359 27006 30033 30221 40044 40509 45653 46718 54012 60066 60442 70077 81018 90663 91306 93436 120132 120884 136959 140154 162036 181326 182612 210231 211547 271989 273918 280308 319571 362652 410877 420462 423094 543978 547836 634641 639142 821754 840924 846188 958713 1087956 1269282 1278284 1643508 1903923 1917426 2145691 2538564 2876139 3807846 3834852 4291382 5752278 6437073 7615692 8582764 11504556 12874146 15019837 19311219 25748292 30039674 38622438 45059511 60079348 77244876 90119022 135178533 180238044 270357066 540714132