Search a number
-
+
146990304 = 2532510383
BaseRepresentation
bin10001100001011…
…10010011100000
3101020120212210100
420300232103200
5300112142204
622330302400
73433253106
oct1060562340
9336525710
10146990304
1175a76a9a
1241287a00
13245b7016
1415743c76
15cd87a39
hex8c2e4e0

146990304 has 36 divisors (see below), whose sum is σ = 418004496. Its totient is φ = 48996672.

The previous prime is 146990293. The next prime is 146990317. The reversal of 146990304 is 403099641.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1469903042 = 43212298940024832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 254904 + ... + 255479.

It is an arithmetic number, because the mean of its divisors is an integer number (11611236).

Almost surely, 2146990304 is an apocalyptic number.

It is an amenable number.

146990304 is an abundant number, since it is smaller than the sum of its proper divisors (271014192).

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

146990304 is a wasteful number, since it uses less digits than its factorization.

146990304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510399 (or 510388 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 146990304 is about 12123.9557900877. The cubic root of 146990304 is about 527.7516049251.

The spelling of 146990304 in words is "one hundred forty-six million, nine hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 510383 1020766 1531149 2041532 3062298 4083064 4593447 6124596 8166128 9186894 12249192 16332256 18373788 24498384 36747576 48996768 73495152 146990304