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546456420 = 223253035869
BaseRepresentation
bin100000100100100…
…100001101100100
31102002020212021200
4200210210031210
52104343101140
6130120242500
716353542256
oct4044441544
91362225250
10546456420
11260507884
12133010430
138929c5c3
1452809cd6
1532e93030
hex20924364

546456420 has 36 divisors (see below), whose sum is σ = 1657585020. Its totient is φ = 145721664.

The previous prime is 546456401. The next prime is 546456431. The reversal of 546456420 is 24654645.

546456420 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 346629924 = 14136^2 + 18618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5464564202 = 597229237918432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1517755 + ... + 1518114.

Almost surely, 2546456420 is an apocalyptic number.

It is an amenable number.

546456420 is an abundant number, since it is smaller than the sum of its proper divisors (1111128600).

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

546456420 is a wasteful number, since it uses less digits than its factorization.

546456420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035884 (or 3035879 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 546456420 is about 23376.4073373134. The cubic root of 546456420 is about 817.5578838457.

The spelling of 546456420 in words is "five hundred forty-six million, four hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3035869 6071738 9107607 12143476 15179345 18215214 27322821 30358690 36430428 45538035 54645642 60717380 91076070 109291284 136614105 182152140 273228210 546456420