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400424240 = 24519263437
BaseRepresentation
bin10111110111011…
…111110100110000
31000220110122210102
4113313133310300
51310002033430
6103422251532
712631356416
oct2767376460
91026418712
10400424240
11196035727
12b2126ba8
1364c5c728
143b2752b6
1525249345
hex17ddfd30

400424240 has 40 divisors (see below), whose sum is σ = 979989360. Its totient is φ = 151739136.

The previous prime is 400424237. The next prime is 400424267. The reversal of 400424240 is 42424004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 130199 + ... + 133238.

It is an arithmetic number, because the mean of its divisors is an integer number (24499734).

Almost surely, 2400424240 is an apocalyptic number.

400424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400424240 is an abundant number, since it is smaller than the sum of its proper divisors (579565120).

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

400424240 is a wasteful number, since it uses less digits than its factorization.

400424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263469 (or 263463 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 400424240 is about 20010.6031893094. The cubic root of 400424240 is about 737.0666932791.

Adding to 400424240 its reverse (42424004), we get a palindrome (442848244).

The spelling of 400424240 in words is "four hundred million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 263437 526874 1053748 1317185 2107496 2634370 4214992 5005303 5268740 10010606 10537480 20021212 21074960 25026515 40042424 50053030 80084848 100106060 200212120 400424240