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990681264 = 24328598009
BaseRepresentation
bin111011000011001…
…001100010110000
32120001010211012200
4323003021202300
54012103300024
6242145423200
733356436366
oct7303114260
92501124180
10990681264
11469239551
1223793ab00
1312a326741
1495803636
155be902c9
hex3b0c98b0

990681264 has 60 divisors (see below), whose sum is σ = 2776105800. Its totient is φ = 329801472.

The previous prime is 990681193. The next prime is 990681269. The reversal of 990681264 is 462186099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990681269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119692 + ... + 127700.

It is an arithmetic number, because the mean of its divisors is an integer number (46268430).

Almost surely, 2990681264 is an apocalyptic number.

It is an amenable number.

990681264 is an abundant number, since it is smaller than the sum of its proper divisors (1785424536).

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

990681264 is a wasteful number, since it uses less digits than its factorization.

990681264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 990681264 is about 31475.0895789035. The cubic root of 990681264 is about 996.8840556418.

The spelling of 990681264 in words is "nine hundred ninety million, six hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 859 1718 2577 3436 5154 6872 7731 8009 10308 13744 15462 16018 20616 24027 30924 32036 41232 48054 61848 64072 72081 96108 123696 128144 144162 192216 288324 384432 576648 1153296 6879731 13759462 20639193 27518924 41278386 55037848 61917579 82556772 110075696 123835158 165113544 247670316 330227088 495340632 990681264