Search a number
-
+
246000 = 2435341
BaseRepresentation
bin111100000011110000
3110111110010
4330003300
530333000
65134520
72043126
oct740360
9414403
10246000
11158907
12ba440
1387c81
1465916
154cd50
hex3c0f0

246000 has 80 divisors (see below), whose sum is σ = 812448. Its totient is φ = 64000.

The previous prime is 245989. The next prime is 246011. The reversal of 246000 is 642.

It is an interprime number because it is at equal distance from previous prime (245989) and next prime (246011).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

246000 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 15 ways as a sum of consecutive naturals, for example, 5980 + ... + 6020.

2246000 is an apocalyptic number.

246000 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 246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

246000 is an abundant number, since it is smaller than the sum of its proper divisors (566448).

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

246000 is a wasteful number, since it uses less digits than its factorization.

246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 246000 is about 495.9838707055. The cubic root of 246000 is about 62.6582655606.

Adding to 246000 its reverse (642), we get a palindrome (246642).

The spelling of 246000 in words is "two hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000