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146088 = 23322029
BaseRepresentation
bin100011101010101000
321102101200
4203222220
514133323
63044200
71145625
oct435250
9242350
10146088
119a838
1270660
1351657
143b34c
152d443
hex23aa8

146088 has 24 divisors (see below), whose sum is σ = 395850. Its totient is φ = 48672.

The previous prime is 146077. The next prime is 146093. The reversal of 146088 is 880641.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 66564 = 282^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

146088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 943 + ... + 1086.

2146088 is an apocalyptic number.

146088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146088 is an abundant number, since it is smaller than the sum of its proper divisors (249762).

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

146088 is a wasteful number, since it uses less digits than its factorization.

146088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146088 is about 382.2145994072. The cubic root of 146088 is about 52.6669515198. Note that the first 3 decimals are identical.

The spelling of 146088 in words is "one hundred forty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2029 4058 6087 8116 12174 16232 18261 24348 36522 48696 73044 146088