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420101024 = 2571875451
BaseRepresentation
bin11001000010100…
…011101110100000
31002021111100021012
4121002203232200
51330021213044
6105404120052
713260541220
oct3102435640
91067440235
10420101024
111a6155132
12b8836028
136905b9b5
143db18080
1526d3459e
hex190a3ba0

420101024 has 24 divisors (see below), whose sum is σ = 945227808. Its totient is φ = 180043200.

The previous prime is 420101023. The next prime is 420101069.

420101024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (420101021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 937502 + ... + 937949.

It is an arithmetic number, because the mean of its divisors is an integer number (39384492).

Almost surely, 2420101024 is an apocalyptic number.

It is an amenable number.

420101024 is an abundant number, since it is smaller than the sum of its proper divisors (525126784).

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

420101024 is a wasteful number, since it uses less digits than its factorization.

420101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875468 (or 1875460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420101024 is about 20496.3661169486. The cubic root of 420101024 is about 748.9472780229.

It can be divided in two parts, 42010 and 1024, that added together give a palindrome (43034).

The spelling of 420101024 in words is "four hundred twenty million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1875451 3750902 7501804 13128157 15003608 26256314 30007216 52512628 60014432 105025256 210050512 420101024