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420127440 = 24351750531
BaseRepresentation
bin11001000010101…
…010001011010000
31002021112200111120
4121002222023100
51330023034230
6105404442240
713261011225
oct3102521320
91067480446
10420127440
111a6172a67
12b8849380
136906aa25
143db2394c
1526d3c310
hex190aa2d0

420127440 has 40 divisors (see below), whose sum is σ = 1302395808. Its totient is φ = 112033920.

The previous prime is 420127439. The next prime is 420127441. The reversal of 420127440 is 44721024.

It is an interprime number because it is at equal distance from previous prime (420127439) and next prime (420127441).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420127440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420127441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875026 + ... + 875505.

Almost surely, 2420127440 is an apocalyptic number.

420127440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420127440 is an abundant number, since it is smaller than the sum of its proper divisors (882268368).

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

420127440 is a wasteful number, since it uses less digits than its factorization.

420127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750547 (or 1750541 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 420127440 is about 20497.0105137310. The cubic root of 420127440 is about 748.9629756571.

Adding to 420127440 its reverse (44721024), we get a palindrome (464848464).

The spelling of 420127440 in words is "four hundred twenty million, one hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1750531 3501062 5251593 7002124 8752655 10503186 14004248 17505310 21006372 26257965 28008496 35010620 42012744 52515930 70021240 84025488 105031860 140042480 210063720 420127440