Base | Representation |
---|---|
bin | 11000000000000… |
… | …010100100001010 |
3 | 1001001200102202000 |
4 | 120000002210022 |
5 | 1311040214230 |
6 | 103542251430 |
7 | 12656404422 |
oct | 3000024412 |
9 | 1031612660 |
10 | 402663690 |
11 | 197325210 |
12 | b2a26b76 |
13 | 65564b50 |
14 | 3b699482 |
15 | 2553cb60 |
hex | 1800290a |
402663690 has 128 divisors (see below), whose sum is σ = 1261612800. Its totient is φ = 90097920.
The previous prime is 402663689. The next prime is 402663721. The reversal of 402663690 is 96366204.
402663690 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×4026636902 = 324276094488832200, which contains 22 as substring.
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 63 ways as a sum of consecutive naturals, for example, 33396 + ... + 43824.
It is an arithmetic number, because the mean of its divisors is an integer number (9856350).
Almost surely, 2402663690 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 402663690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630806400).
402663690 is an abundant number, since it is smaller than the sum of its proper divisors (858949110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402663690 is a wasteful number, since it uses less digits than its factorization.
402663690 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10469 (or 10463 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 402663690 is about 20066.4817544083. The cubic root of 402663690 is about 738.4382023124.
It can be divided in two parts, 40266 and 3690, that added together give a triangular number (43956 = T296).
The spelling of 402663690 in words is "four hundred two million, six hundred sixty-three thousand, six hundred ninety".
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