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1463731680 = 25353049441
BaseRepresentation
bin101011100111110…
…1100010111100000
310210000021021101110
41113033230113200
510444203403210
6401124503320
751162341205
oct12717542740
93700237343
101463731680
11691269304
1234a24ab40
131a4334128
14dc581cac
1588783420
hex573ec5e0

1463731680 has 48 divisors (see below), whose sum is σ = 4610756304. Its totient is φ = 390328320.

The previous prime is 1463731657. The next prime is 1463731691. The reversal of 1463731680 is 861373641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1524241 + ... + 1525200.

It is an arithmetic number, because the mean of its divisors is an integer number (96057423).

Almost surely, 21463731680 is an apocalyptic number.

1463731680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463731680 is an abundant number, since it is smaller than the sum of its proper divisors (3147024624).

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

1463731680 is a wasteful number, since it uses less digits than its factorization.

1463731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049459 (or 3049451 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1463731680 is about 38258.7464509751. The cubic root of 1463731680 is about 1135.4129000300.

The spelling of 1463731680 in words is "one billion, four hundred sixty-three million, seven hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3049441 6098882 9148323 12197764 15247205 18296646 24395528 30494410 36593292 45741615 48791056 60988820 73186584 91483230 97582112 121977640 146373168 182966460 243955280 292746336 365932920 487910560 731865840 1463731680