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900969664 = 26721915121
BaseRepresentation
bin110101101100111…
…011010011000000
32022210100000000211
4311230323103000
53321122012124
6225222523504
731220054500
oct6554732300
92283300024
10900969664
11422634931
12211896594
13114875b5a
148792da00
155416de94
hex35b3b4c0

900969664 has 84 divisors (see below), whose sum is σ = 2189363160. Its totient is φ = 365783040.

The previous prime is 900969653. The next prime is 900969691. The reversal of 900969664 is 466969009.

It is a happy number.

900969664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52024 + ... + 67144.

Almost surely, 2900969664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094681580).

900969664 is an abundant number, since it is smaller than the sum of its proper divisors (1288393496).

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

900969664 is a wasteful number, since it uses less digits than its factorization.

900969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 900969664 is about 30016.1567160088. The cubic root of 900969664 is about 965.8360010047.

The spelling of 900969664 in words is "nine hundred million, nine hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3724 4256 7448 8512 14896 15121 29792 30242 59584 60484 105847 120968 211694 241936 287299 423388 483872 574598 740929 846776 967744 1149196 1481858 1693552 2011093 2298392 2963716 3387104 4022186 4596784 5927432 6774208 8044372 9193568 11854864 14077651 16088744 18387136 23709728 28155302 32177488 47419456 56310604 64354976 112621208 128709952 225242416 450484832 900969664