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145678480 = 2459718773
BaseRepresentation
bin10001010111011…
…10000010010000
3101011010020022021
420223232002100
5244243202410
622242221224
73416150413
oct1053560220
9334106267
10145678480
1175260442
1240954814
1324247bac
14154c1b7a
15cbc8eda
hex8aee090

145678480 has 40 divisors (see below), whose sum is σ = 342212472. Its totient is φ = 57667584.

The previous prime is 145678471. The next prime is 145678501. The reversal of 145678480 is 84876541.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 88887184 = 7536^2 + 9428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1456784802 = 42444439070220800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 17146.

Almost surely, 2145678480 is an apocalyptic number.

145678480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145678480 is an abundant number, since it is smaller than the sum of its proper divisors (196533992).

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

145678480 is a wasteful number, since it uses less digits than its factorization.

145678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 145678480 is about 12069.7340484370. The cubic root of 145678480 is about 526.1769272819.

The spelling of 145678480 in words is "one hundred forty-five million, six hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 18773 37546 75092 93865 150184 187730 300368 375460 750920 1501840 1820981 3641962 7283924 9104905 14567848 18209810 29135696 36419620 72839240 145678480