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146790461 = 1761353401
BaseRepresentation
bin10001011111111…
…01100000111101
3101020012201122202
420233331200331
5300034243321
622322121245
73431461346
oct1057754075
9336181582
10146790461
117594a934
12411b0225
132454707c
14156d10cd
15cd4870b
hex8bfd83d

146790461 has 16 divisors (see below), whose sum is σ = 158815728. Its totient is φ = 135168000.

The previous prime is 146790451. The next prime is 146790467. The reversal of 146790461 is 164097641.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2910436 + 143880025 = 1706^2 + 11995^2 .

It is a cyclic number.

It is not a de Polignac number, because 146790461 - 214 = 146774077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146790467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365861 + ... + 366261.

It is an arithmetic number, because the mean of its divisors is an integer number (9925983).

Almost surely, 2146790461 is an apocalyptic number.

It is an amenable number.

146790461 is a deficient number, since it is larger than the sum of its proper divisors (12025267).

146790461 is a wasteful number, since it uses less digits than its factorization.

146790461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 146790461 is about 12115.7113286839. The cubic root of 146790461 is about 527.5123254310.

The spelling of 146790461 in words is "one hundred forty-six million, seven hundred ninety thousand, four hundred sixty-one".

Divisors: 1 17 61 353 401 1037 6001 6817 21533 24461 141553 366061 415837 2406401 8634733 146790461