Search a number
-
+
246780 = 22335457
BaseRepresentation
bin111100001111111100
3110112112000
4330033330
530344110
65142300
72045322
oct741774
9415460
10246780
11159456
12ba990
1388431
1465d12
154d1c0
hex3c3fc

246780 has 48 divisors (see below), whose sum is σ = 769440. Its totient is φ = 65664.

The previous prime is 246773. The next prime is 246781. The reversal of 246780 is 87642.

246780 = 102 + 112 + ... + 902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312 + ... + 768.

It is an arithmetic number, because the mean of its divisors is an integer number (16030).

2246780 is an apocalyptic number.

246780 is a gapful number since it is divisible by the number (20) 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 246780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384720).

246780 is an abundant number, since it is smaller than the sum of its proper divisors (522660).

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

246780 is a wasteful number, since it uses less digits than its factorization.

246780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 246780 is about 496.7695642851. The cubic root of 246780 is about 62.7244198737.

Subtracting from 246780 its sum of digits (27), we obtain a triangular number (246753 = T702).

The spelling of 246780 in words is "two hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 457 540 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 12339 13710 16452 20565 24678 27420 41130 49356 61695 82260 123390 246780