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420272784 = 24322918561
BaseRepresentation
bin11001000011001…
…101101010010000
31002021211001212200
4121003031222100
51330042212114
6105411523200
713262155041
oct3103155220
91067731780
10420272784
111a6262188
12b88b9500
13690bbc29
143db608c8
1526d6a409
hex190cda90

420272784 has 30 divisors (see below), whose sum is σ = 1176180486. Its totient is φ = 140090880.

The previous prime is 420272779. The next prime is 420272789. The reversal of 420272784 is 487272024.

It is an interprime number because it is at equal distance from previous prime (420272779) and next prime (420272789).

It can be written as a sum of positive squares in only one way, i.e., 416160000 + 4112784 = 20400^2 + 2028^2 .

It is a super-2 number, since 2×4202727842 = 353258425942221312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420272789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459137 + ... + 1459424.

Almost surely, 2420272784 is an apocalyptic number.

It is an amenable number.

420272784 is an abundant number, since it is smaller than the sum of its proper divisors (755907702).

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

420272784 is a wasteful number, since it uses less digits than its factorization.

420272784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918575 (or 2918566 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 420272784 is about 20500.5556997853. Note that the first 3 decimals coincide. The cubic root of 420272784 is about 749.0493341551.

The spelling of 420272784 in words is "four hundred twenty million, two hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2918561 5837122 8755683 11674244 17511366 23348488 26267049 35022732 46696976 52534098 70045464 105068196 140090928 210136392 420272784