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420141440 = 275656471
BaseRepresentation
bin11001000010101…
…101100110000000
31002021120101201002
4121002231212000
51330024011230
6105405031132
713261100105
oct3102554600
91067511632
10420141440
111a6182534
12b88554a8
1369074204
143db28aac
1526d41545
hex190ad980

420141440 has 32 divisors (see below), whose sum is σ = 1004402160. Its totient is φ = 168056320.

The previous prime is 420141431. The next prime is 420141443. The reversal of 420141440 is 44141024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420141443) 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 3 ways as a sum of consecutive naturals, for example, 327596 + ... + 328875.

Almost surely, 2420141440 is an apocalyptic number.

420141440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420141440 is an abundant number, since it is smaller than the sum of its proper divisors (584260720).

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

420141440 is an equidigital number, since it uses as much as digits as its factorization.

420141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656490 (or 656478 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 420141440 is about 20497.3520241030. The cubic root of 420141440 is about 748.9712948512.

Adding to 420141440 its reverse (44141024), we get a palindrome (464282464).

The spelling of 420141440 in words is "four hundred twenty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 656471 1312942 2625884 3282355 5251768 6564710 10503536 13129420 21007072 26258840 42014144 52517680 84028288 105035360 210070720 420141440