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146383780 = 22583163541
BaseRepresentation
bin10001011100110…
…10001110100100
3101012110001210111
420232122032210
5244433240110
622305302404
73425145604
oct1056321644
9335401714
10146383780
11756a2334
1241034a04
1324433c2a
1415626c04
15ccb7e8a
hex8b9a3a4

146383780 has 48 divisors (see below), whose sum is σ = 313596864. Its totient is φ = 57386880.

The previous prime is 146383763. The next prime is 146383843. The reversal of 146383780 is 87383641.

It is a super-2 number, since 2×1463837802 = 42856422094176800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 270310 + ... + 270850.

It is an arithmetic number, because the mean of its divisors is an integer number (6533268).

Almost surely, 2146383780 is an apocalyptic number.

146383780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146383780 is an abundant number, since it is smaller than the sum of its proper divisors (167213084).

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

146383780 is a wasteful number, since it uses less digits than its factorization.

146383780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 146383780 is about 12098.9164804126. The cubic root of 146383780 is about 527.0247195814.

The spelling of 146383780 in words is "one hundred forty-six million, three hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 83 163 166 326 332 415 541 652 815 830 1082 1630 1660 2164 2705 3260 5410 10820 13529 27058 44903 54116 67645 88183 89806 135290 176366 179612 224515 270580 352732 440915 449030 881830 898060 1763660 7319189 14638378 29276756 36595945 73191890 146383780