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900960256 = 21272672
BaseRepresentation
bin110101101100111…
…001000000000000
32022210022112010101
4311230321000000
53321121212011
6225222412144
731220015200
oct6554710000
92283275111
10900960256
11422628859
12211891054
131148717a1
148792a400
155416b2c1
hex35b39000

900960256 has 117 divisors (see below), whose sum is σ = 2127604059. Its totient is φ = 380362752.

The previous prime is 900960253. The next prime is 900960289. The reversal of 900960256 is 652069009.

It is a happy number.

The square root of 900960256 is 30016.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (900960253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13447135 + ... + 13447201.

Almost surely, 2900960256 is an apocalyptic number.

900960256 is the 30016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900960256

900960256 is an abundant number, since it is smaller than the sum of its proper divisors (1226643803).

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

900960256 is an frugal number, since it uses more digits than its factorization.

900960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 900960256 is about 965.8326392132.

The spelling of 900960256 in words is "nine hundred million, nine hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 128 134 196 224 256 268 392 448 469 512 536 784 896 938 1024 1072 1568 1792 1876 2048 2144 3136 3283 3584 3752 4096 4288 4489 6272 6566 7168 7504 8576 8978 12544 13132 14336 15008 17152 17956 25088 26264 28672 30016 31423 34304 35912 50176 52528 60032 62846 68608 71824 100352 105056 120064 125692 137216 143648 200704 210112 219961 240128 251384 274432 287296 420224 439922 480256 502768 574592 840448 879844 960512 1005536 1149184 1680896 1759688 1921024 2011072 2298368 3361792 3519376 4022144 4596736 6723584 7038752 8044288 9193472 13447168 14077504 16088576 18386944 28155008 32177152 56310016 64354304 112620032 128708608 225240064 450480128 900960256