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146383764 = 22329547769
BaseRepresentation
bin10001011100110…
…10001110010100
3101012110001202220
420232122032110
5244433240024
622305302340
73425145552
oct1056321624
9335401686
10146383764
11756a231a
12410349b0
1324433c17
1415626bd2
15ccb7e79
hex8b9a394

146383764 has 48 divisors (see below), whose sum is σ = 354446400. Its totient is φ = 46964736.

The previous prime is 146383763. The next prime is 146383843. The reversal of 146383764 is 467383641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146383763) by changing a digit.

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, 189972 + ... + 190740.

It is an arithmetic number, because the mean of its divisors is an integer number (7384300).

Almost surely, 2146383764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146383764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177223200).

146383764 is an abundant number, since it is smaller than the sum of its proper divisors (208062636).

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

146383764 is a wasteful number, since it uses less digits than its factorization.

146383764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 146383764 is about 12098.9158191964. The cubic root of 146383764 is about 527.0247003799.

The spelling of 146383764 in words is "one hundred forty-six million, three hundred eighty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 547 769 1094 1538 1641 2188 2307 3076 3282 4614 6564 9228 15863 22301 31726 44602 47589 63452 66903 89204 95178 133806 190356 267612 420643 841286 1261929 1682572 2523858 5047716 12198647 24397294 36595941 48794588 73191882 146383764