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400017020 = 225135872621
BaseRepresentation
bin10111110101111…
…100011001111100
31000212200222012012
4113311330121330
51304401021040
6103405430352
712625042244
oct2765743174
91025628165
10400017020
11195887787
12b1b6b3b8
1364b49280
143b1aab24
15251b8865
hex17d7c67c

400017020 has 48 divisors (see below), whose sum is σ = 906540768. Its totient is φ = 147390720.

The previous prime is 400017019. The next prime is 400017031. The reversal of 400017020 is 20710004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400016986 and 400017004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151310 + ... + 153930.

It is an arithmetic number, because the mean of its divisors is an integer number (18886266).

Almost surely, 2400017020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400017020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453270384).

400017020 is an abundant number, since it is smaller than the sum of its proper divisors (506523748).

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

400017020 is a wasteful number, since it uses less digits than its factorization.

400017020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 400017020 is about 20000.4254954738. The cubic root of 400017020 is about 736.8167499492.

Adding to 400017020 its reverse (20710004), we get a palindrome (420727024).

The spelling of 400017020 in words is "four hundred million, seventeen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 587 1174 2348 2621 2935 5242 5870 7631 10484 11740 13105 15262 26210 30524 34073 38155 52420 68146 76310 136292 152620 170365 340730 681460 1538527 3077054 6154108 7692635 15385270 20000851 30770540 40001702 80003404 100004255 200008510 400017020