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420420042 = 23276749801
BaseRepresentation
bin11001000011110…
…001100111001010
31002022002112212200
4121003301213022
51330111420132
6105415021030
713263340260
oct3103614712
91068075780
10420420042
111a6352889
12b896a776
1369140c73
143db9c430
1526d98d7c
hex190f19ca

420420042 has 48 divisors (see below), whose sum is σ = 1056599232. Its totient is φ = 118324800.

The previous prime is 420420041. The next prime is 420420043. The reversal of 420420042 is 240024024.

420420042 is a `hidden beast` number, since 420 + 4 + 200 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (420420041) and next prime (420420043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420419997 and 420420024.

It is not an unprimeable number, because it can be changed into a prime (420420041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16459 + ... + 33342.

It is an arithmetic number, because the mean of its divisors is an integer number (22012484).

Almost surely, 2420420042 is an apocalyptic number.

420420042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

420420042 is an abundant number, since it is smaller than the sum of its proper divisors (636179190).

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

420420042 is a wasteful number, since it uses less digits than its factorization.

420420042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49883 (or 49880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420420042 is about 20504.1469464106. The cubic root of 420420042 is about 749.1368095842.

Adding to 420420042 its reverse (240024024), we get a palindrome (660444066).

The spelling of 420420042 in words is "four hundred twenty million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 49801 99602 149403 298806 348607 448209 697214 896418 1045821 2091642 3137463 3336667 6274926 6673334 10010001 20020002 23356669 30030003 46713338 60060006 70070007 140140014 210210021 420420042