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414020 = 225127163
BaseRepresentation
bin1100101000101000100
3210000221002
41211011010
5101222040
612512432
73343025
oct1450504
9700832
10414020
11263072
1217b718
131165a9
14aac4c
1582a15
hex65144

414020 has 24 divisors (see below), whose sum is σ = 881664. Its totient is φ = 163296.

The previous prime is 414019. The next prime is 414031. The reversal of 414020 is 20414.

It is a junction number, because it is equal to n+sod(n) for n = 413992 and 414010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2459 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (36736).

2414020 is an apocalyptic number.

It is an amenable number.

414020 is an abundant number, since it is smaller than the sum of its proper divisors (467644).

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

414020 is a wasteful number, since it uses less digits than its factorization.

414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 414020 is about 643.4438592449. The cubic root of 414020 is about 74.5315992853.

Adding to 414020 its reverse (20414), we get a palindrome (434434).

The spelling of 414020 in words is "four hundred fourteen thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 127 163 254 326 508 635 652 815 1270 1630 2540 3260 20701 41402 82804 103505 207010 414020