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420064440 = 23353500537
BaseRepresentation
bin11001000010011…
…010110010111000
31002021102111002020
4121002122302320
51330014030230
6105403234440
713260326445
oct3102326270
91067374066
10420064440
111a612a6a4
12b8818a20
1369048153
143db089cc
1526d28810
hex1909acb8

420064440 has 32 divisors (see below), whose sum is σ = 1260193680. Its totient is φ = 112017152.

The previous prime is 420064439. The next prime is 420064451. The reversal of 420064440 is 44460024.

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 420064440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750149 + ... + 1750388.

Almost surely, 2420064440 is an apocalyptic number.

420064440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420064440 is an abundant number, since it is smaller than the sum of its proper divisors (840129240).

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

420064440 is a wasteful number, since it uses less digits than its factorization.

420064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500551 (or 3500547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 420064440 is about 20495.4736466372. The cubic root of 420064440 is about 748.9255369963.

The spelling of 420064440 in words is "four hundred twenty million, sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3500537 7001074 10501611 14002148 17502685 21003222 28004296 35005370 42006444 52508055 70010740 84012888 105016110 140021480 210032220 420064440