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990429405 = 35721678069
BaseRepresentation
bin111011000010001…
…100000011011101
32120000200000201120
4323002030003131
54012022220110
6242140201153
733354340200
oct7302140335
92500600646
10990429405
114690872a9
122378391b9
1312a268c04
1495779937
155be40870
hex3b08c0dd

990429405 has 48 divisors (see below), whose sum is σ = 1854679680. Its totient is φ = 450000768.

The previous prime is 990429403. The next prime is 990429409. The reversal of 990429405 is 504924099.

It is not a de Polignac number, because 990429405 - 21 = 990429403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990429403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118711 + ... + 126779.

It is an arithmetic number, because the mean of its divisors is an integer number (38639160).

Almost surely, 2990429405 is an apocalyptic number.

It is an amenable number.

990429405 is a deficient number, since it is larger than the sum of its proper divisors (864250275).

990429405 is a wasteful number, since it uses less digits than its factorization.

990429405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 990429405 is about 31471.0883987192. The cubic root of 990429405 is about 996.7995698405.

The spelling of 990429405 in words is "nine hundred ninety million, four hundred twenty-nine thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 167 245 501 735 835 1169 2505 3507 5845 8069 8183 17535 24207 24549 40345 40915 56483 121035 122745 169449 282415 395381 847245 1186143 1347523 1976905 4042569 5930715 6737615 9432661 20212845 28297983 47163305 66028627 141489915 198085881 330143135 990429405