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146314206 = 232173712923
BaseRepresentation
bin10001011100010…
…01001111011110
3101012022112100200
420232021033132
5244424023311
622304004330
73424436013
oct1056111736
9335275320
10146314206
1175655035
12410006a6
132440b36c
141560970a
15cca2556
hex8b893de

146314206 has 48 divisors (see below), whose sum is σ = 344760624. Its totient is φ = 44658432.

The previous prime is 146314187. The next prime is 146314229. The reversal of 146314206 is 602413641.

146314206 is a `hidden beast` number, since 1 + 4 + 631 + 4 + 20 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146314206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4861 + ... + 17783.

It is an arithmetic number, because the mean of its divisors is an integer number (7182513).

Almost surely, 2146314206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146314206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172380312).

146314206 is an abundant number, since it is smaller than the sum of its proper divisors (198446418).

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

146314206 is a wasteful number, since it uses less digits than its factorization.

146314206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146314206 is about 12096.0409225498. The cubic root of 146314206 is about 526.9412107198.

Adding to 146314206 its reverse (602413641), we get a palindrome (748727847).

The spelling of 146314206 in words is "one hundred forty-six million, three hundred fourteen thousand, two hundred six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 12923 25846 38769 77538 116307 219691 232614 439382 478151 659073 956302 1318146 1434453 1977219 2868906 3954438 4303359 8128567 8606718 16257134 24385701 48771402 73157103 146314206