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420642 = 23223369
BaseRepresentation
bin1100110101100100010
3210101000100
41212230202
5101430032
613003230
73401235
oct1465442
9711010
10420642
11268042
12183516
13119601
14ad41c
158497c
hex66b22

420642 has 12 divisors (see below), whose sum is σ = 911430. Its totient is φ = 140208.

The previous prime is 420613. The next prime is 420671. The reversal of 420642 is 246024.

420642 is a `hidden beast` number, since 4 + 20 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (420613) and next prime (420671).

It can be written as a sum of positive squares in only one way, i.e., 408321 + 12321 = 639^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23369 = 420642 / (4 + 2 + 0 + 6 + 4 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11667 + ... + 11702.

2420642 is an apocalyptic number.

420642 is an abundant number, since it is smaller than the sum of its proper divisors (490788).

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

420642 is a wasteful number, since it uses less digits than its factorization.

420642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23377 (or 23374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420642 is about 648.5691944581. The cubic root of 420642 is about 74.9268620344.

Adding to 420642 its reverse (246024), we get a palindrome (666666).

The spelling of 420642 in words is "four hundred twenty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23369 46738 70107 140214 210321 420642