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145120824 = 23322015567
BaseRepresentation
bin10001010011001…
…01111000111000
3101010001220100100
420221211320320
5244122331244
622222235400
73411335532
oct1051457070
9333056310
10145120824
1174a0a472
1240725b60
13240b1114
14153b8852
15cb18b69
hex8a65e38

145120824 has 24 divisors (see below), whose sum is σ = 393035760. Its totient is φ = 48373584.

The previous prime is 145120817. The next prime is 145120897. The reversal of 145120824 is 428021541.

145120824 is a `hidden beast` number, since 1 + 451 + 208 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1007712 + ... + 1007855.

It is an arithmetic number, because the mean of its divisors is an integer number (16376490).

Almost surely, 2145120824 is an apocalyptic number.

It is an amenable number.

145120824 is an abundant number, since it is smaller than the sum of its proper divisors (247914936).

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

145120824 is a wasteful number, since it uses less digits than its factorization.

145120824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015579 (or 2015572 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145120824 is about 12046.6104776406. The cubic root of 145120824 is about 525.5046684618.

The spelling of 145120824 in words is "one hundred forty-five million, one hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2015567 4031134 6046701 8062268 12093402 16124536 18140103 24186804 36280206 48373608 72560412 145120824