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546420 = 223571301
BaseRepresentation
bin10000101011001110100
31000202112210
42011121310
5114441140
615413420
74434030
oct2053164
91022483
10546420
11343596
12224270
13161934
141031c0
15abd80
hex85674

546420 has 48 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 124800.

The previous prime is 546391. The next prime is 546461. The reversal of 546420 is 24645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

546420 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, 231 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

546420 is a Friedman number, since it can be written as 420*(6^4+5), using all its digits and the basic arithmetic operations.

2546420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

546420 is an abundant number, since it is smaller than the sum of its proper divisors (1203468).

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

546420 is a wasteful number, since it uses less digits than its factorization.

546420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 546420 is about 739.2022727238. The cubic root of 546420 is about 81.7539720690.

The spelling of 546420 in words is "five hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1301 2602 3903 5204 6505 7806 9107 13010 15612 18214 19515 26020 27321 36428 39030 45535 54642 78060 91070 109284 136605 182140 273210 546420