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146088684 = 2236717421
BaseRepresentation
bin10001011010100…
…10001011101100
3101011220002000000
420231102023230
5244344314214
622255104300
73422506350
oct1055221354
9334802000
10146088684
1175510655
1240b12090
132435c811
141558b460
15cc5a809
hex8b522ec

146088684 has 168 divisors, whose sum is σ = 464935968. Its totient is φ = 39191040.

The previous prime is 146088671. The next prime is 146088707. The reversal of 146088684 is 486880641.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 346794 + ... + 347214.

It is an arithmetic number, because the mean of its divisors is an integer number (2767476).

Almost surely, 2146088684 is an apocalyptic number.

146088684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146088684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232467984).

146088684 is an abundant number, since it is smaller than the sum of its proper divisors (318847284).

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

146088684 is a wasteful number, since it uses less digits than its factorization.

146088684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 146088684 is about 12086.7151865178. The cubic root of 146088684 is about 526.6703371711.

The spelling of 146088684 in words is "one hundred forty-six million, eighty-eight thousand, six hundred eighty-four".