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412871920 = 24512740637
BaseRepresentation
bin11000100110111…
…110110011110000
31001202220001210121
4120212332303300
51321143400140
6104545140024
713142232136
oct3046766360
91052801717
10412871920
111a206786a
12b632a614
13676ca416
143cb95756
15263a764a
hex189becf0

412871920 has 40 divisors (see below), whose sum is σ = 967509504. Its totient is φ = 163844352.

The previous prime is 412871917. The next prime is 412871951. The reversal of 412871920 is 29178214.

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

It is a congruent number.

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, 10159 + ... + 30478.

Almost surely, 2412871920 is an apocalyptic number.

412871920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

412871920 is the 10160-th decagonal number.

It is an amenable number.

412871920 is an abundant number, since it is smaller than the sum of its proper divisors (554637584).

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

412871920 is a wasteful number, since it uses less digits than its factorization.

412871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40777 (or 40771 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 412871920 is about 20319.2499861584. The cubic root of 412871920 is about 744.6264331354.

The spelling of 412871920 in words is "four hundred twelve million, eight hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 40637 81274 162548 203185 325096 406370 650192 812740 1625480 3250960 5160899 10321798 20643596 25804495 41287192 51608990 82574384 103217980 206435960 412871920