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419000420 = 22542594919
BaseRepresentation
bin11000111110010…
…111000001100100
31002012102102112002
4120332113001210
51324231003140
6105324344432
713245305366
oct3076270144
91065372462
10419000420
111a5573243
12b83a5118
1368a64a57
143d90cd36
1526bb8415
hex18f97064

419000420 has 24 divisors (see below), whose sum is σ = 880286400. Its totient is φ = 167526752.

The previous prime is 419000383. The next prime is 419000467. The reversal of 419000420 is 24000914.

It is a super-2 number, since 2×4190004202 = 351122703920352800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 419000392 and 419000401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82721 + ... + 87639.

It is an arithmetic number, because the mean of its divisors is an integer number (36678600).

Almost surely, 2419000420 is an apocalyptic number.

It is an amenable number.

419000420 is an abundant number, since it is smaller than the sum of its proper divisors (461285980).

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

419000420 is a wasteful number, since it uses less digits than its factorization.

419000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 419000420 is about 20469.4997496275. The cubic root of 419000420 is about 748.2926614613.

The spelling of 419000420 in words is "four hundred nineteen million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 4259 4919 8518 9838 17036 19676 21295 24595 42590 49190 85180 98380 20950021 41900042 83800084 104750105 209500210 419000420