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146380 = 22513563
BaseRepresentation
bin100011101111001100
321102210111
4203233030
514141010
63045404
71146523
oct435714
9242714
10146380
119aa83
1270864
1351820
143b4ba
152d58a
hex23bcc

146380 has 24 divisors (see below), whose sum is σ = 331632. Its totient is φ = 53952.

The previous prime is 146369. The next prime is 146381. The reversal of 146380 is 83641.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (146381) by changing a digit.

146380 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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (13818).

2146380 is an apocalyptic number.

146380 is a gapful number since it is divisible by the number (10) 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 146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165816).

146380 is an abundant number, since it is smaller than the sum of its proper divisors (185252).

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

146380 is a wasteful number, since it uses less digits than its factorization.

146380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 146380 is about 382.5963930828. The cubic root of 146380 is about 52.7020183171.

The spelling of 146380 in words is "one hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 563 1126 2252 2815 5630 7319 11260 14638 29276 36595 73190 146380