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1540315464 = 233177153173
BaseRepresentation
bin101101111001111…
…0101100101001000
310222100101010120220
41123303311211020
511123310043324
6412502150040
753112315432
oct13363654510
93870333526
101540315464
11720516896
1236ba22320
131b716958c
141087d9652
159035eb79
hex5bcf5948

1540315464 has 64 divisors (see below), whose sum is σ = 4134810240. Its totient is φ = 476421120.

The previous prime is 1540315463. The next prime is 1540315499. The reversal of 1540315464 is 4645130451.

It is not an unprimeable number, because it can be changed into a prime (1540315463) 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 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 55554.

It is an arithmetic number, because the mean of its divisors is an integer number (64606410).

Almost surely, 21540315464 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 1540315464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067405120).

1540315464 is an abundant number, since it is smaller than the sum of its proper divisors (2594494776).

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

1540315464 is a wasteful number, since it uses less digits than its factorization.

1540315464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53270 (or 53266 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1540315464 is about 39246.8529184188. The cubic root of 1540315464 is about 1154.8791972754.

The spelling of 1540315464 in words is "one billion, five hundred forty million, three hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 53173 106346 159519 212692 319038 425384 638076 903941 1276152 1807882 2711823 3615764 3775283 5423646 7231528 7550566 10847292 11325849 15101132 21694584 22651698 30202264 45303396 64179811 90606792 128359622 192539433 256719244 385078866 513438488 770157732 1540315464