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540451674 = 232723716561
BaseRepresentation
bin100000001101101…
…010001101011010
31101122221210022200
4200031222031122
52101323423144
6125343431030
716251522600
oct4015521532
91348853280
10540451674
11258086384
12130bb5476
1387c793b9
1451ac5870
15326a8c69
hex2036a35a

540451674 has 72 divisors (see below), whose sum is σ = 1399058388. Its totient is φ = 150232320.

The previous prime is 540451673. The next prime is 540451721. The reversal of 540451674 is 476154045.

540451674 is a `hidden beast` number, since 540 + 4 + 51 + 67 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 538472025 + 1979649 = 23205^2 + 1407^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540451673) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 24354 + ... + 40914.

Almost surely, 2540451674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540451674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699529194).

540451674 is an abundant number, since it is smaller than the sum of its proper divisors (858606714).

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

540451674 is a wasteful number, since it uses less digits than its factorization.

540451674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16620 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 540451674 is about 23247.6165229901. The cubic root of 540451674 is about 814.5522646433.

The spelling of 540451674 in words is "five hundred forty million, four hundred fifty-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 16317 16561 32634 33122 49683 99366 115927 149049 231854 298098 347781 612757 695562 811489 1043343 1225514 1622978 1838271 2086686 2434467 3676542 4289299 4868934 5514813 7303401 8578598 11029626 12867897 14606802 25735794 30025093 38603691 60050186 77207382 90075279 180150558 270225837 540451674