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990135688 = 233712726339
BaseRepresentation
bin111011000001000…
…100010110001000
32120000010002211011
4323001010112020
54011433320223
6242130013304
733352004653
oct7301042610
92500102734
10990135688
114689a6663
12237717234
1312a195309
149570089a
155bdd380d
hex3b044588

990135688 has 32 divisors (see below), whose sum is σ = 1921766400. Its totient is φ = 477876672.

The previous prime is 990135659. The next prime is 990135689. The reversal of 990135688 is 886531099.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (990135689) 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 7 ways as a sum of consecutive naturals, for example, 24423 + ... + 50761.

It is an arithmetic number, because the mean of its divisors is an integer number (60055200).

Almost surely, 2990135688 is an apocalyptic number.

It is an amenable number.

990135688 is a deficient number, since it is larger than the sum of its proper divisors (931630712).

990135688 is a wasteful number, since it uses less digits than its factorization.

990135688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26509 (or 26505 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 990135688 is about 31466.4215950909. The cubic root of 990135688 is about 996.7010247300.

The spelling of 990135688 in words is "nine hundred ninety million, one hundred thirty-five thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 37 74 127 148 254 296 508 1016 4699 9398 18796 26339 37592 52678 105356 210712 974543 1949086 3345053 3898172 6690106 7796344 13380212 26760424 123766961 247533922 495067844 990135688