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146331666 = 232134314543
BaseRepresentation
bin10001011100011…
…01100000010010
3101012100102022100
420232031200102
5244430103131
622304221230
73424540635
oct1056154022
9335312270
10146331666
1175667168
124100a816
13244162b0
1415611c1c
15cca77e6
hex8b8d812

146331666 has 48 divisors (see below), whose sum is σ = 349405056. Its totient is φ = 43975008.

The previous prime is 146331649. The next prime is 146331667. The reversal of 146331666 is 666133641.

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 self number, because there is not a number n which added to its sum of digits gives 146331666.

It is not an unprimeable number, because it can be changed into a prime (146331667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2791 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (7279272).

Almost surely, 2146331666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146331666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174702528).

146331666 is an abundant number, since it is smaller than the sum of its proper divisors (203073390).

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

146331666 is a wasteful number, since it uses less digits than its factorization.

146331666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607 (or 14604 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 146331666 is about 12096.7626247687. The cubic root of 146331666 is about 526.9621702421.

The spelling of 146331666 in words is "one hundred forty-six million, three hundred thirty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 14543 29086 43629 87258 130887 189059 261774 378118 567177 625349 1134354 1250698 1701531 1876047 3403062 3752094 5628141 8129537 11256282 16259074 24388611 48777222 73165833 146331666