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420281712 = 243216011823
BaseRepresentation
bin11001000011001…
…111110101110000
31002021211112010100
4121003033311300
51330043003322
6105412032400
713262223054
oct3103176560
91067745110
10420281712
111a6268964
12b8902700
13690c3006
143db63c64
1526d6cdac
hex190cfd70

420281712 has 60 divisors (see below), whose sum is σ = 1177585344. Its totient is φ = 139929600.

The previous prime is 420281711. The next prime is 420281713. The reversal of 420281712 is 217182024.

It is an interprime number because it is at equal distance from previous prime (420281711) and next prime (420281713).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420281711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229633 + ... + 231455.

Almost surely, 2420281712 is an apocalyptic number.

It is an amenable number.

420281712 is an abundant number, since it is smaller than the sum of its proper divisors (757303632).

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

420281712 is a wasteful number, since it uses less digits than its factorization.

420281712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 420281712 is about 20500.7734488238. The cubic root of 420281712 is about 749.0546382221.

The spelling of 420281712 in words is "four hundred twenty million, two hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1601 1823 3202 3646 4803 5469 6404 7292 9606 10938 12808 14409 14584 16407 19212 21876 25616 28818 29168 32814 38424 43752 57636 65628 76848 87504 115272 131256 230544 262512 2918623 5837246 8755869 11674492 17511738 23348984 26267607 35023476 46697968 52535214 70046952 105070428 140093904 210140856 420281712