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400012640 = 2557513329
BaseRepresentation
bin10111110101111…
…011010101100000
31000212200202011222
4113311323111200
51304400401030
6103405354212
712625023416
oct2765732540
91025622158
10400012640
11195884465
12b1b68968
1364b47291
143b1a92b6
15251b73e5
hex17d7b560

400012640 has 48 divisors (see below), whose sum is σ = 946572480. Its totient is φ = 159744000.

The previous prime is 400012583. The next prime is 400012649. The reversal of 400012640 is 46210004.

400012640 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 2×4000126402 = 320020224319539200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400012649) 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 7 ways as a sum of consecutive naturals, for example, 118496 + ... + 121824.

It is an arithmetic number, because the mean of its divisors is an integer number (19720260).

Almost surely, 2400012640 is an apocalyptic number.

400012640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400012640 is an abundant number, since it is smaller than the sum of its proper divisors (546559840).

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

400012640 is a wasteful number, since it uses less digits than its factorization.

400012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 400012640 is about 20000.3159975036. The cubic root of 400012640 is about 736.8140606727.

Adding to 400012640 its reverse (46210004), we get a palindrome (446222644).

The spelling of 400012640 in words is "four hundred million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 751 1502 3004 3329 3755 6008 6658 7510 12016 13316 15020 16645 24032 26632 30040 33290 53264 60080 66580 106528 120160 133160 266320 532640 2500079 5000158 10000316 12500395 20000632 25000790 40001264 50001580 80002528 100003160 200006320 400012640