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146240 = 265457
BaseRepresentation
bin100011101101000000
321102121022
4203231000
514134430
63045012
71146233
oct435500
9242538
10146240
119a966
1270768
1351743
143b41a
152d4e5
hex23b40

146240 has 28 divisors (see below), whose sum is σ = 348996. Its totient is φ = 58368.

The previous prime is 146239. The next prime is 146249. The reversal of 146240 is 42641.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 53824 = 304^2 + 232^2 .

It is a super-2 number, since 2×1462402 = 42772275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 548.

2146240 is an apocalyptic number.

146240 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 146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174498).

146240 is an abundant number, since it is smaller than the sum of its proper divisors (202756).

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

146240 is an equidigital number, since it uses as much as digits as its factorization.

146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 146240 is about 382.4133888869. The cubic root of 146240 is about 52.6852112942.

Adding to 146240 its reverse (42641), we get a palindrome (188881).

The spelling of 146240 in words is "one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 457 914 1828 2285 3656 4570 7312 9140 14624 18280 29248 36560 73120 146240