Search a number
-
+
146256 = 24311277
BaseRepresentation
bin100011101101010000
321102121220
4203231100
514140011
63045040
71146255
oct435520
9242556
10146256
119a980
1270780
1351756
143b42c
152d506
hex23b50

146256 has 40 divisors (see below), whose sum is σ = 413664. Its totient is φ = 44160.

The previous prime is 146249. The next prime is 146273. The reversal of 146256 is 652641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 48 + 2 + 64 + 57 + 64 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146256.

It is an unprimeable number.

146256 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, 390 + ... + 666.

2146256 is an apocalyptic number.

146256 is a gapful number since it is divisible by the number (16) 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 146256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206832).

146256 is an abundant number, since it is smaller than the sum of its proper divisors (267408).

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

146256 is a wasteful number, since it uses less digits than its factorization.

146256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 146256 is about 382.4343080844. The cubic root of 146256 is about 52.6871326396.

Adding to 146256 its product of digits (1440), we get a triangular number (147696 = T543).

Adding to 146256 its reverse (652641), we get a palindrome (798897).

The spelling of 146256 in words is "one hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 528 554 831 1108 1662 2216 3047 3324 4432 6094 6648 9141 12188 13296 18282 24376 36564 48752 73128 146256