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420100240 = 2457750179
BaseRepresentation
bin11001000010100…
…011100010010000
31002021111022012011
4121002203202100
51330021201430
6105404112304
713260536020
oct3102434220
91067438164
10420100240
111a615458a
12b8835694
136905b531
143db17a80
1526d3422a
hex190a3890

420100240 has 40 divisors (see below), whose sum is σ = 1116267840. Its totient is φ = 144034176.

The previous prime is 420100223. The next prime is 420100249. The reversal of 420100240 is 42001024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420100240.

It is not an unprimeable number, because it can be changed into a prime (420100249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374530 + ... + 375649.

It is an arithmetic number, because the mean of its divisors is an integer number (27906696).

Almost surely, 2420100240 is an apocalyptic number.

420100240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420100240 is an abundant number, since it is smaller than the sum of its proper divisors (696167600).

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

420100240 is a wasteful number, since it uses less digits than its factorization.

420100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750199 (or 750193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 420100240 is about 20496.3469915983. The cubic root of 420100240 is about 748.9468121230.

Adding to 420100240 its reverse (42001024), we get a palindrome (462101264).

The spelling of 420100240 in words is "four hundred twenty million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 750179 1500358 3000716 3750895 5251253 6001432 7501790 10502506 12002864 15003580 21005012 26256265 30007160 42010024 52512530 60014320 84020048 105025060 210050120 420100240