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400136680 = 23510003417
BaseRepresentation
bin10111110110011…
…001100111101000
31000212221001100001
4113312121213220
51304413333210
6103412152344
712626051146
oct2766314750
91025831301
10400136680
11195959679
12b20086b4
1364b8b888
143b1dc596
15251de03a
hex17d999e8

400136680 has 16 divisors (see below), whose sum is σ = 900307620. Its totient is φ = 160054656.

The previous prime is 400136651. The next prime is 400136687. The reversal of 400136680 is 86631004.

It can be written as a sum of positive squares in 2 ways, for example, as 385651044 + 14485636 = 19638^2 + 3806^2 .

It is not an unprimeable number, because it can be changed into a prime (400136687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5001669 + ... + 5001748.

Almost surely, 2400136680 is an apocalyptic number.

400136680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400136680 is an abundant number, since it is smaller than the sum of its proper divisors (500170940).

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

400136680 is a wasteful number, since it uses less digits than its factorization.

400136680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003428 (or 10003424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 400136680 is about 20003.4167081526. The cubic root of 400136680 is about 736.8902124087.

Adding to 400136680 its reverse (86631004), we get a palindrome (486767684).

The spelling of 400136680 in words is "four hundred million, one hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 10003417 20006834 40013668 50017085 80027336 100034170 200068340 400136680