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145832020 = 2257291601
BaseRepresentation
bin10001011000100…
…11100001010100
3101011102000220221
420230103201110
5244313111040
622245404124
73420360145
oct1054234124
9334360827
10145832020
1175355834
1240a09644
132429ca49
1415521acc
15cc0974a
hex8b13854

145832020 has 12 divisors (see below), whose sum is σ = 306247284. Its totient is φ = 58332800.

The previous prime is 145832003. The next prime is 145832033. The reversal of 145832020 is 20238541.

It can be written as a sum of positive squares in 2 ways, for example, as 42850116 + 102981904 = 6546^2 + 10148^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3645781 + ... + 3645820.

It is an arithmetic number, because the mean of its divisors is an integer number (25520607).

Almost surely, 2145832020 is an apocalyptic number.

145832020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145832020 is an abundant number, since it is smaller than the sum of its proper divisors (160415264).

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

145832020 is a wasteful number, since it uses less digits than its factorization.

145832020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291610 (or 7291608 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 145832020 is about 12076.0929112027. The cubic root of 145832020 is about 526.3617197075.

The spelling of 145832020 in words is "one hundred forty-five million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 7291601 14583202 29166404 36458005 72916010 145832020