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990313695 = 3657371049
BaseRepresentation
bin111011000001101…
…111110011011111
32120000110011000000
4323001233303133
54012010014240
6242133505343
733353345640
oct7301576337
92500404000
10990313695
11469008378
122377a2253
1312a228347
14957496c7
155be1b430
hex3b06fcdf

990313695 has 112 divisors (see below), whose sum is σ = 2093313600. Its totient is φ = 440059392.

The previous prime is 990313657. The next prime is 990313717. The reversal of 990313695 is 596313099.

It is not a de Polignac number, because 990313695 - 218 = 990051551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 990313695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 943531 + ... + 944579.

It is an arithmetic number, because the mean of its divisors is an integer number (18690300).

Almost surely, 2990313695 is an apocalyptic number.

990313695 is the 15735-th decagonal number.

990313695 is an abundant number, since it is smaller than the sum of its proper divisors (1102999905).

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

990313695 is a wasteful number, since it uses less digits than its factorization.

990313695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 990313695 is about 31469.2499910627. The cubic root of 990313695 is about 996.7607502573.

The spelling of 990313695 in words is "nine hundred ninety million, three hundred thirteen thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 243 259 315 333 405 555 567 729 777 945 999 1049 1215 1295 1665 1701 2331 2835 2997 3147 3645 3885 4995 5103 5245 6993 7343 8505 8991 9441 11655 14985 15735 20979 22029 25515 26973 28323 34965 36715 38813 44955 47205 62937 66087 84969 104895 110145 116439 134865 141615 188811 194065 198261 254907 271691 314685 330435 349317 424845 582195 594783 764721 815073 944055 991305 1047951 1274535 1358455 1746585 1784349 2445219 2973915 3143853 3823605 4075365 5239755 5353047 7335657 8921745 9431559 12226095 15719265 22006971 26765235 28294677 36678285 47157795 66020913 110034855 141473385 198062739 330104565 990313695