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1463478720 = 263511138587
BaseRepresentation
bin101011100111010…
…1110100111000000
310202222210102101120
41113032232213000
510444122304340
6401115232240
751160235544
oct12716564700
93688712346
101463478720
11691106250
1234a148680
131a4275c52
14dc517a24
15887334d0
hex573ae9c0

1463478720 has 112 divisors (see below), whose sum is σ = 5068994688. Its totient is φ = 354780160.

The previous prime is 1463478719. The next prime is 1463478733. The reversal of 1463478720 is 278743641.

1463478720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58734 + ... + 79853.

Almost surely, 21463478720 is an apocalyptic number.

1463478720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463478720 is an abundant number, since it is smaller than the sum of its proper divisors (3605515968).

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

1463478720 is a wasteful number, since it uses less digits than its factorization.

1463478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138618 (or 138608 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1463478720 is about 38255.4403974128. The cubic root of 1463478720 is about 1135.3474894546.

The spelling of 1463478720 in words is "one billion, four hundred sixty-three million, four hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 138587 277174 415761 554348 692935 831522 1108696 1385870 1524457 1663044 2078805 2217392 2771740 3048914 3326088 4157610 4434784 4573371 5543480 6097828 6652176 7622285 8315220 8869568 9146742 11086960 12195656 13304352 15244570 16630440 18293484 22173920 22866855 24391312 26608704 30489140 33260880 36586968 44347840 45733710 48782624 60978280 66521760 73173936 91467420 97565248 121956560 133043520 146347872 182934840 243913120 292695744 365869680 487826240 731739360 1463478720