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420546540 = 223514947041
BaseRepresentation
bin11001000100010…
…000011111101100
31002022022222101210
4121010100133230
51330124442130
6105421434420
713264405131
oct3104203754
91068288353
10420546540
111a6429927
12b8a0ba10
136918670b
143dbd2588
1526dc15b0
hex191107ec

420546540 has 48 divisors (see below), whose sum is σ = 1185458400. Its totient is φ = 111390720.

The previous prime is 420546523. The next prime is 420546547. The reversal of 420546540 is 45645024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420546498 and 420546507.

It is not an unprimeable number, because it can be changed into a prime (420546547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14581 + ... + 32460.

It is an arithmetic number, because the mean of its divisors is an integer number (24697050).

Almost surely, 2420546540 is an apocalyptic number.

It is an amenable number.

420546540 is an abundant number, since it is smaller than the sum of its proper divisors (764911860).

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

420546540 is a wasteful number, since it uses less digits than its factorization.

420546540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47202 (or 47200 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 420546540 is about 20507.2314074816. The cubic root of 420546540 is about 749.2119366761.

The spelling of 420546540 in words is "four hundred twenty million, five hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 47041 94082 141123 188164 235205 282246 470410 564492 705615 940820 1411230 2822460 7009109 14018218 21027327 28036436 35045545 42054654 70091090 84109308 105136635 140182180 210273270 420546540